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Finding the Third Proportional to 103,125.50 and 164,094.50

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Solution

The third proportional to 103,125.50 and 164,094.50 is: 261,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,125.50 : 164,094.50 = 164,094.50 : x
  2. Step 2: Convert to fraction form
    103,125.50/164,094.50 = 164,094.50/x
  3. Step 3: Cross multiply
    103,125.50x = 164,094.50 × 164,094.50
  4. Step 4: Simplify right side
    103,125.50x = 26,927,004,930.25
  5. Step 5: Solve for x
    x = 26,927,004,930.25/103,125.50
  6. Step 6: Final answer
    x = 261,109.08

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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.