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Finding the Third Proportional to 59,942 and 129,604

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Solution

The third proportional to 59,942 and 129,604 is: 280,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,942 : 129,604 = 129,604 : x
  2. Step 2: Convert to fraction form
    59,942/129,604 = 129,604/x
  3. Step 3: Cross multiply
    59,942x = 129,604 × 129,604
  4. Step 4: Simplify right side
    59,942x = 16,797,196,816
  5. Step 5: Solve for x
    x = 16,797,196,816/59,942
  6. Step 6: Final answer
    x = 280,224.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.