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Finding the Third Proportional to 59,109.75 and 129,708

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Solution

The third proportional to 59,109.75 and 129,708 is: 284,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,109.75 : 129,708 = 129,708 : x
  2. Step 2: Convert to fraction form
    59,109.75/129,708 = 129,708/x
  3. Step 3: Cross multiply
    59,109.75x = 129,708 × 129,708
  4. Step 4: Simplify right side
    59,109.75x = 16,824,165,264
  5. Step 5: Solve for x
    x = 16,824,165,264/59,109.75
  6. Step 6: Final answer
    x = 284,625.89

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