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Finding the Third Proportional to 42,191 and 63,552

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Solution

The third proportional to 42,191 and 63,552 is: 95,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,191 : 63,552 = 63,552 : x
  2. Step 2: Convert to fraction form
    42,191/63,552 = 63,552/x
  3. Step 3: Cross multiply
    42,191x = 63,552 × 63,552
  4. Step 4: Simplify right side
    42,191x = 4,038,856,704
  5. Step 5: Solve for x
    x = 4,038,856,704/42,191
  6. Step 6: Final answer
    x = 95,727.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.