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Finding the Third Proportional to 55,074 and 83,127

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Solution

The third proportional to 55,074 and 83,127 is: 125,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,074 : 83,127 = 83,127 : x
  2. Step 2: Convert to fraction form
    55,074/83,127 = 83,127/x
  3. Step 3: Cross multiply
    55,074x = 83,127 × 83,127
  4. Step 4: Simplify right side
    55,074x = 6,910,098,129
  5. Step 5: Solve for x
    x = 6,910,098,129/55,074
  6. Step 6: Final answer
    x = 125,469.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.