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Finding the Third Proportional to 59,934.94 and 129,217.78

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Solution

The third proportional to 59,934.94 and 129,217.78 is: 278,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,934.94 : 129,217.78 = 129,217.78 : x
  2. Step 2: Convert to fraction form
    59,934.94/129,217.78 = 129,217.78/x
  3. Step 3: Cross multiply
    59,934.94x = 129,217.78 × 129,217.78
  4. Step 4: Simplify right side
    59,934.94x = 16,697,234,991.17
  5. Step 5: Solve for x
    x = 16,697,234,991.17/59,934.94
  6. Step 6: Final answer
    x = 278,589.35

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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.