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Finding the Third Proportional to 65,657.25 and 95,614.50

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Solution

The third proportional to 65,657.25 and 95,614.50 is: 139,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657.25 : 95,614.50 = 95,614.50 : x
  2. Step 2: Convert to fraction form
    65,657.25/95,614.50 = 95,614.50/x
  3. Step 3: Cross multiply
    65,657.25x = 95,614.50 × 95,614.50
  4. Step 4: Simplify right side
    65,657.25x = 9,142,132,610.25
  5. Step 5: Solve for x
    x = 9,142,132,610.25/65,657.25
  6. Step 6: Final answer
    x = 139,240.26

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