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Finding the Third Proportional to 62,180 and 134,188

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Solution

The third proportional to 62,180 and 134,188 is: 289,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,180 : 134,188 = 134,188 : x
  2. Step 2: Convert to fraction form
    62,180/134,188 = 134,188/x
  3. Step 3: Cross multiply
    62,180x = 134,188 × 134,188
  4. Step 4: Simplify right side
    62,180x = 18,006,419,344
  5. Step 5: Solve for x
    x = 18,006,419,344/62,180
  6. Step 6: Final answer
    x = 289,585.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.