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Finding the Third Proportional to 62,660 and 95,974

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Solution

The third proportional to 62,660 and 95,974 is: 146,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,660 : 95,974 = 95,974 : x
  2. Step 2: Convert to fraction form
    62,660/95,974 = 95,974/x
  3. Step 3: Cross multiply
    62,660x = 95,974 × 95,974
  4. Step 4: Simplify right side
    62,660x = 9,211,008,676
  5. Step 5: Solve for x
    x = 9,211,008,676/62,660
  6. Step 6: Final answer
    x = 146,999.82

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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.