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Finding the Third Proportional to 65,651 and 95,606

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Solution

The third proportional to 65,651 and 95,606 is: 139,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651 : 95,606 = 95,606 : x
  2. Step 2: Convert to fraction form
    65,651/95,606 = 95,606/x
  3. Step 3: Cross multiply
    65,651x = 95,606 × 95,606
  4. Step 4: Simplify right side
    65,651x = 9,140,507,236
  5. Step 5: Solve for x
    x = 9,140,507,236/65,651
  6. Step 6: Final answer
    x = 139,228.76

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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.