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Finding the Third Proportional to 103,187.25 and 164,180.25

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Solution

The third proportional to 103,187.25 and 164,180.25 is: 261,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,187.25 : 164,180.25 = 164,180.25 : x
  2. Step 2: Convert to fraction form
    103,187.25/164,180.25 = 164,180.25/x
  3. Step 3: Cross multiply
    103,187.25x = 164,180.25 × 164,180.25
  4. Step 4: Simplify right side
    103,187.25x = 26,955,154,490.06
  5. Step 5: Solve for x
    x = 26,955,154,490.06/103,187.25
  6. Step 6: Final answer
    x = 261,225.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.