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Finding the Third Proportional to 95,719 and 140,617

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Solution

The third proportional to 95,719 and 140,617 is: 206,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,719 : 140,617 = 140,617 : x
  2. Step 2: Convert to fraction form
    95,719/140,617 = 140,617/x
  3. Step 3: Cross multiply
    95,719x = 140,617 × 140,617
  4. Step 4: Simplify right side
    95,719x = 19,773,140,689
  5. Step 5: Solve for x
    x = 19,773,140,689/95,719
  6. Step 6: Final answer
    x = 206,574.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.