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Finding the Third Proportional to 55,894 and 83,081

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Solution

The third proportional to 55,894 and 83,081 is: 123,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894 : 83,081 = 83,081 : x
  2. Step 2: Convert to fraction form
    55,894/83,081 = 83,081/x
  3. Step 3: Cross multiply
    55,894x = 83,081 × 83,081
  4. Step 4: Simplify right side
    55,894x = 6,902,452,561
  5. Step 5: Solve for x
    x = 6,902,452,561/55,894
  6. Step 6: Final answer
    x = 123,491.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.