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Finding the Third Proportional to 62,372 and 137,200

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Solution

The third proportional to 62,372 and 137,200 is: 301,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,372 : 137,200 = 137,200 : x
  2. Step 2: Convert to fraction form
    62,372/137,200 = 137,200/x
  3. Step 3: Cross multiply
    62,372x = 137,200 × 137,200
  4. Step 4: Simplify right side
    62,372x = 18,823,840,000
  5. Step 5: Solve for x
    x = 18,823,840,000/62,372
  6. Step 6: Final answer
    x = 301,799.53

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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.