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Finding the Third Proportional to 104,080 and 132,123

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Solution

The third proportional to 104,080 and 132,123 is: 167,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,080 : 132,123 = 132,123 : x
  2. Step 2: Convert to fraction form
    104,080/132,123 = 132,123/x
  3. Step 3: Cross multiply
    104,080x = 132,123 × 132,123
  4. Step 4: Simplify right side
    104,080x = 17,456,487,129
  5. Step 5: Solve for x
    x = 17,456,487,129/104,080
  6. Step 6: Final answer
    x = 167,721.82

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.