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Finding the Third Proportional to 103,865.25 and 169,586.25

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Solution

The third proportional to 103,865.25 and 169,586.25 is: 276,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,865.25 : 169,586.25 = 169,586.25 : x
  2. Step 2: Convert to fraction form
    103,865.25/169,586.25 = 169,586.25/x
  3. Step 3: Cross multiply
    103,865.25x = 169,586.25 × 169,586.25
  4. Step 4: Simplify right side
    103,865.25x = 28,759,496,189.06
  5. Step 5: Solve for x
    x = 28,759,496,189.06/103,865.25
  6. Step 6: Final answer
    x = 276,892.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.