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Finding the Third Proportional to 49,951 and 77,339

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Solution

The third proportional to 49,951 and 77,339 is: 119,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951 : 77,339 = 77,339 : x
  2. Step 2: Convert to fraction form
    49,951/77,339 = 77,339/x
  3. Step 3: Cross multiply
    49,951x = 77,339 × 77,339
  4. Step 4: Simplify right side
    49,951x = 5,981,320,921
  5. Step 5: Solve for x
    x = 5,981,320,921/49,951
  6. Step 6: Final answer
    x = 119,743.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.