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Finding the Third Proportional to 62,138.25 and 132,545.25

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Solution

The third proportional to 62,138.25 and 132,545.25 is: 282,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,138.25 : 132,545.25 = 132,545.25 : x
  2. Step 2: Convert to fraction form
    62,138.25/132,545.25 = 132,545.25/x
  3. Step 3: Cross multiply
    62,138.25x = 132,545.25 × 132,545.25
  4. Step 4: Simplify right side
    62,138.25x = 17,568,243,297.56
  5. Step 5: Solve for x
    x = 17,568,243,297.56/62,138.25
  6. Step 6: Final answer
    x = 282,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.