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Finding the Third Proportional to 162,589.78 and 173,836.13

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Solution

The third proportional to 162,589.78 and 173,836.13 is: 185,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,589.78 : 173,836.13 = 173,836.13 : x
  2. Step 2: Convert to fraction form
    162,589.78/173,836.13 = 173,836.13/x
  3. Step 3: Cross multiply
    162,589.78x = 173,836.13 × 173,836.13
  4. Step 4: Simplify right side
    162,589.78x = 30,218,998,355.02
  5. Step 5: Solve for x
    x = 30,218,998,355.02/162,589.78
  6. Step 6: Final answer
    x = 185,860.38

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.