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Finding the Third Proportional to 63,934 and 119,870

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Solution

The third proportional to 63,934 and 119,870 is: 224,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,934 : 119,870 = 119,870 : x
  2. Step 2: Convert to fraction form
    63,934/119,870 = 119,870/x
  3. Step 3: Cross multiply
    63,934x = 119,870 × 119,870
  4. Step 4: Simplify right side
    63,934x = 14,368,816,900
  5. Step 5: Solve for x
    x = 14,368,816,900/63,934
  6. Step 6: Final answer
    x = 224,744.53

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.