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Finding the Third Proportional to 42,613 and 63,919

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Solution

The third proportional to 42,613 and 63,919 is: 95,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,613 : 63,919 = 63,919 : x
  2. Step 2: Convert to fraction form
    42,613/63,919 = 63,919/x
  3. Step 3: Cross multiply
    42,613x = 63,919 × 63,919
  4. Step 4: Simplify right side
    42,613x = 4,085,638,561
  5. Step 5: Solve for x
    x = 4,085,638,561/42,613
  6. Step 6: Final answer
    x = 95,877.75

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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.