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Finding the Third Proportional to 62,158 and 132,860

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Solution

The third proportional to 62,158 and 132,860 is: 283,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,158 : 132,860 = 132,860 : x
  2. Step 2: Convert to fraction form
    62,158/132,860 = 132,860/x
  3. Step 3: Cross multiply
    62,158x = 132,860 × 132,860
  4. Step 4: Simplify right side
    62,158x = 17,651,779,600
  5. Step 5: Solve for x
    x = 17,651,779,600/62,158
  6. Step 6: Final answer
    x = 283,982.43

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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.