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Finding the Third Proportional to 60,660 and 132,974

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Solution

The third proportional to 60,660 and 132,974 is: 291,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,660 : 132,974 = 132,974 : x
  2. Step 2: Convert to fraction form
    60,660/132,974 = 132,974/x
  3. Step 3: Cross multiply
    60,660x = 132,974 × 132,974
  4. Step 4: Simplify right side
    60,660x = 17,682,084,676
  5. Step 5: Solve for x
    x = 17,682,084,676/60,660
  6. Step 6: Final answer
    x = 291,494.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.