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Finding the Third Proportional to 82,992 and 124,548

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Solution

The third proportional to 82,992 and 124,548 is: 186,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992 : 124,548 = 124,548 : x
  2. Step 2: Convert to fraction form
    82,992/124,548 = 124,548/x
  3. Step 3: Cross multiply
    82,992x = 124,548 × 124,548
  4. Step 4: Simplify right side
    82,992x = 15,512,204,304
  5. Step 5: Solve for x
    x = 15,512,204,304/82,992
  6. Step 6: Final answer
    x = 186,912.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.