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Finding the Third Proportional to 65,659 and 95,617

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Solution

The third proportional to 65,659 and 95,617 is: 139,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659 : 95,617 = 95,617 : x
  2. Step 2: Convert to fraction form
    65,659/95,617 = 95,617/x
  3. Step 3: Cross multiply
    65,659x = 95,617 × 95,617
  4. Step 4: Simplify right side
    65,659x = 9,142,610,689
  5. Step 5: Solve for x
    x = 9,142,610,689/65,659
  6. Step 6: Final answer
    x = 139,243.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.