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Finding the Third Proportional to 75,092 and 158,812

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Solution

The third proportional to 75,092 and 158,812 is: 335,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092 : 158,812 = 158,812 : x
  2. Step 2: Convert to fraction form
    75,092/158,812 = 158,812/x
  3. Step 3: Cross multiply
    75,092x = 158,812 × 158,812
  4. Step 4: Simplify right side
    75,092x = 25,221,251,344
  5. Step 5: Solve for x
    x = 25,221,251,344/75,092
  6. Step 6: Final answer
    x = 335,871.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.