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Finding the Third Proportional to 55,288 and 83,331

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Solution

The third proportional to 55,288 and 83,331 is: 125,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,288 : 83,331 = 83,331 : x
  2. Step 2: Convert to fraction form
    55,288/83,331 = 83,331/x
  3. Step 3: Cross multiply
    55,288x = 83,331 × 83,331
  4. Step 4: Simplify right side
    55,288x = 6,944,055,561
  5. Step 5: Solve for x
    x = 6,944,055,561/55,288
  6. Step 6: Final answer
    x = 125,597.88

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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.