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Finding the Third Proportional to 65,662 and 95,622

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Solution

The third proportional to 65,662 and 95,622 is: 139,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,662 : 95,622 = 95,622 : x
  2. Step 2: Convert to fraction form
    65,662/95,622 = 95,622/x
  3. Step 3: Cross multiply
    65,662x = 95,622 × 95,622
  4. Step 4: Simplify right side
    65,662x = 9,143,566,884
  5. Step 5: Solve for x
    x = 9,143,566,884/65,662
  6. Step 6: Final answer
    x = 139,252.03

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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.