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Finding the Third Proportional to 62,860 and 132,188

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Solution

The third proportional to 62,860 and 132,188 is: 277,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,860 : 132,188 = 132,188 : x
  2. Step 2: Convert to fraction form
    62,860/132,188 = 132,188/x
  3. Step 3: Cross multiply
    62,860x = 132,188 × 132,188
  4. Step 4: Simplify right side
    62,860x = 17,473,667,344
  5. Step 5: Solve for x
    x = 17,473,667,344/62,860
  6. Step 6: Final answer
    x = 277,977.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.