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Finding the Third Proportional to 63,675 and 86,169

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Solution

The third proportional to 63,675 and 86,169 is: 116,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,675 : 86,169 = 86,169 : x
  2. Step 2: Convert to fraction form
    63,675/86,169 = 86,169/x
  3. Step 3: Cross multiply
    63,675x = 86,169 × 86,169
  4. Step 4: Simplify right side
    63,675x = 7,425,096,561
  5. Step 5: Solve for x
    x = 7,425,096,561/63,675
  6. Step 6: Final answer
    x = 116,609.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.