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Finding the Third Proportional to 62,463 and 95,254.50

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Solution

The third proportional to 62,463 and 95,254.50 is: 145,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,463 : 95,254.50 = 95,254.50 : x
  2. Step 2: Convert to fraction form
    62,463/95,254.50 = 95,254.50/x
  3. Step 3: Cross multiply
    62,463x = 95,254.50 × 95,254.50
  4. Step 4: Simplify right side
    62,463x = 9,073,419,770.25
  5. Step 5: Solve for x
    x = 9,073,419,770.25/62,463
  6. Step 6: Final answer
    x = 145,260.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.