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Finding the Third Proportional to 59,952 and 129,624

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Solution

The third proportional to 59,952 and 129,624 is: 280,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 129,624 = 129,624 : x
  2. Step 2: Convert to fraction form
    59,952/129,624 = 129,624/x
  3. Step 3: Cross multiply
    59,952x = 129,624 × 129,624
  4. Step 4: Simplify right side
    59,952x = 16,802,381,376
  5. Step 5: Solve for x
    x = 16,802,381,376/59,952
  6. Step 6: Final answer
    x = 280,263.90

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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.