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Finding the Third Proportional to 42,262 and 63,561

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Solution

The third proportional to 42,262 and 63,561 is: 95,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262 : 63,561 = 63,561 : x
  2. Step 2: Convert to fraction form
    42,262/63,561 = 63,561/x
  3. Step 3: Cross multiply
    42,262x = 63,561 × 63,561
  4. Step 4: Simplify right side
    42,262x = 4,040,000,721
  5. Step 5: Solve for x
    x = 4,040,000,721/42,262
  6. Step 6: Final answer
    x = 95,594.17

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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.