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Finding the Third Proportional to 62,341.88 and 133,545.38

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Solution

The third proportional to 62,341.88 and 133,545.38 is: 286,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,341.88 : 133,545.38 = 133,545.38 : x
  2. Step 2: Convert to fraction form
    62,341.88/133,545.38 = 133,545.38/x
  3. Step 3: Cross multiply
    62,341.88x = 133,545.38 × 133,545.38
  4. Step 4: Simplify right side
    62,341.88x = 17,834,367,183.89
  5. Step 5: Solve for x
    x = 17,834,367,183.89/62,341.88
  6. Step 6: Final answer
    x = 286,073.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.