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Finding the Third Proportional to 113,419 and 167,542

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Solution

The third proportional to 113,419 and 167,542 is: 247,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,419 : 167,542 = 167,542 : x
  2. Step 2: Convert to fraction form
    113,419/167,542 = 167,542/x
  3. Step 3: Cross multiply
    113,419x = 167,542 × 167,542
  4. Step 4: Simplify right side
    113,419x = 28,070,321,764
  5. Step 5: Solve for x
    x = 28,070,321,764/113,419
  6. Step 6: Final answer
    x = 247,492.23

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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.