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Finding the Third Proportional to 62,156 and 132,856

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Solution

The third proportional to 62,156 and 132,856 is: 283,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,156 : 132,856 = 132,856 : x
  2. Step 2: Convert to fraction form
    62,156/132,856 = 132,856/x
  3. Step 3: Cross multiply
    62,156x = 132,856 × 132,856
  4. Step 4: Simplify right side
    62,156x = 17,650,716,736
  5. Step 5: Solve for x
    x = 17,650,716,736/62,156
  6. Step 6: Final answer
    x = 283,974.46

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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.