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Finding the Third Proportional to 62,675.81 and 137,194.13

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Solution

The third proportional to 62,675.81 and 137,194.13 is: 300,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,675.81 : 137,194.13 = 137,194.13 : x
  2. Step 2: Convert to fraction form
    62,675.81/137,194.13 = 137,194.13/x
  3. Step 3: Cross multiply
    62,675.81x = 137,194.13 × 137,194.13
  4. Step 4: Simplify right side
    62,675.81x = 18,822,227,934.52
  5. Step 5: Solve for x
    x = 18,822,227,934.52/62,675.81
  6. Step 6: Final answer
    x = 300,310.87

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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.