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Finding the Third Proportional to 62,102 and 132,520

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Solution

The third proportional to 62,102 and 132,520 is: 282,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,102 : 132,520 = 132,520 : x
  2. Step 2: Convert to fraction form
    62,102/132,520 = 132,520/x
  3. Step 3: Cross multiply
    62,102x = 132,520 × 132,520
  4. Step 4: Simplify right side
    62,102x = 17,561,550,400
  5. Step 5: Solve for x
    x = 17,561,550,400/62,102
  6. Step 6: Final answer
    x = 282,785.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.