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Finding the Third Proportional to 59,087.25 and 129,654.75

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Solution

The third proportional to 59,087.25 and 129,654.75 is: 284,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,087.25 : 129,654.75 = 129,654.75 : x
  2. Step 2: Convert to fraction form
    59,087.25/129,654.75 = 129,654.75/x
  3. Step 3: Cross multiply
    59,087.25x = 129,654.75 × 129,654.75
  4. Step 4: Simplify right side
    59,087.25x = 16,810,354,197.56
  5. Step 5: Solve for x
    x = 16,810,354,197.56/59,087.25
  6. Step 6: Final answer
    x = 284,500.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.