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Finding the Third Proportional to 49,142 and 77,931

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Solution

The third proportional to 49,142 and 77,931 is: 123,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142 : 77,931 = 77,931 : x
  2. Step 2: Convert to fraction form
    49,142/77,931 = 77,931/x
  3. Step 3: Cross multiply
    49,142x = 77,931 × 77,931
  4. Step 4: Simplify right side
    49,142x = 6,073,240,761
  5. Step 5: Solve for x
    x = 6,073,240,761/49,142
  6. Step 6: Final answer
    x = 123,585.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.