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Finding the Third Proportional to 33,542 and 72,908

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Solution

The third proportional to 33,542 and 72,908 is: 158,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542 : 72,908 = 72,908 : x
  2. Step 2: Convert to fraction form
    33,542/72,908 = 72,908/x
  3. Step 3: Cross multiply
    33,542x = 72,908 × 72,908
  4. Step 4: Simplify right side
    33,542x = 5,315,576,464
  5. Step 5: Solve for x
    x = 5,315,576,464/33,542
  6. Step 6: Final answer
    x = 158,475.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.