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Finding the Third Proportional to 107,934 and 160,791

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Solution

The third proportional to 107,934 and 160,791 is: 239,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,934 : 160,791 = 160,791 : x
  2. Step 2: Convert to fraction form
    107,934/160,791 = 160,791/x
  3. Step 3: Cross multiply
    107,934x = 160,791 × 160,791
  4. Step 4: Simplify right side
    107,934x = 25,853,745,681
  5. Step 5: Solve for x
    x = 25,853,745,681/107,934
  6. Step 6: Final answer
    x = 239,532.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.