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Finding the Third Proportional to 62,450 and 95,761

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Solution

The third proportional to 62,450 and 95,761 is: 146,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,450 : 95,761 = 95,761 : x
  2. Step 2: Convert to fraction form
    62,450/95,761 = 95,761/x
  3. Step 3: Cross multiply
    62,450x = 95,761 × 95,761
  4. Step 4: Simplify right side
    62,450x = 9,170,169,121
  5. Step 5: Solve for x
    x = 9,170,169,121/62,450
  6. Step 6: Final answer
    x = 146,840.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.