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Finding the Third Proportional to 62,741 and 137,921

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Solution

The third proportional to 62,741 and 137,921 is: 303,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,741 : 137,921 = 137,921 : x
  2. Step 2: Convert to fraction form
    62,741/137,921 = 137,921/x
  3. Step 3: Cross multiply
    62,741x = 137,921 × 137,921
  4. Step 4: Simplify right side
    62,741x = 19,022,202,241
  5. Step 5: Solve for x
    x = 19,022,202,241/62,741
  6. Step 6: Final answer
    x = 303,186.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.