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Finding the Third Proportional to 81,500 and 124,674

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Solution

The third proportional to 81,500 and 124,674 is: 190,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,500 : 124,674 = 124,674 : x
  2. Step 2: Convert to fraction form
    81,500/124,674 = 124,674/x
  3. Step 3: Cross multiply
    81,500x = 124,674 × 124,674
  4. Step 4: Simplify right side
    81,500x = 15,543,606,276
  5. Step 5: Solve for x
    x = 15,543,606,276/81,500
  6. Step 6: Final answer
    x = 190,719.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.