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Finding the Third Proportional to 81,896 and 124,068

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Solution

The third proportional to 81,896 and 124,068 is: 187,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896 : 124,068 = 124,068 : x
  2. Step 2: Convert to fraction form
    81,896/124,068 = 124,068/x
  3. Step 3: Cross multiply
    81,896x = 124,068 × 124,068
  4. Step 4: Simplify right side
    81,896x = 15,392,868,624
  5. Step 5: Solve for x
    x = 15,392,868,624/81,896
  6. Step 6: Final answer
    x = 187,956.29

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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.