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Finding the Third Proportional to 104,542 and 157,051

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Solution

The third proportional to 104,542 and 157,051 is: 235,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,542 : 157,051 = 157,051 : x
  2. Step 2: Convert to fraction form
    104,542/157,051 = 157,051/x
  3. Step 3: Cross multiply
    104,542x = 157,051 × 157,051
  4. Step 4: Simplify right side
    104,542x = 24,665,016,601
  5. Step 5: Solve for x
    x = 24,665,016,601/104,542
  6. Step 6: Final answer
    x = 235,934.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.