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Finding the Third Proportional to 42,357 and 63,609

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Solution

The third proportional to 42,357 and 63,609 is: 95,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357 : 63,609 = 63,609 : x
  2. Step 2: Convert to fraction form
    42,357/63,609 = 63,609/x
  3. Step 3: Cross multiply
    42,357x = 63,609 × 63,609
  4. Step 4: Simplify right side
    42,357x = 4,046,104,881
  5. Step 5: Solve for x
    x = 4,046,104,881/42,357
  6. Step 6: Final answer
    x = 95,523.88

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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.