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Finding the Third Proportional to 83,744 and 124,080

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Solution

The third proportional to 83,744 and 124,080 is: 183,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,744 : 124,080 = 124,080 : x
  2. Step 2: Convert to fraction form
    83,744/124,080 = 124,080/x
  3. Step 3: Cross multiply
    83,744x = 124,080 × 124,080
  4. Step 4: Simplify right side
    83,744x = 15,395,846,400
  5. Step 5: Solve for x
    x = 15,395,846,400/83,744
  6. Step 6: Final answer
    x = 183,844.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.