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Finding the Third Proportional to 95,499 and 143,217

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Solution

The third proportional to 95,499 and 143,217 is: 214,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,499 : 143,217 = 143,217 : x
  2. Step 2: Convert to fraction form
    95,499/143,217 = 143,217/x
  3. Step 3: Cross multiply
    95,499x = 143,217 × 143,217
  4. Step 4: Simplify right side
    95,499x = 20,511,109,089
  5. Step 5: Solve for x
    x = 20,511,109,089/95,499
  6. Step 6: Final answer
    x = 214,778.26

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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.