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Finding the Third Proportional to 71,766 and 167,624.44

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Solution

The third proportional to 71,766 and 167,624.44 is: 391,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766 : 167,624.44 = 167,624.44 : x
  2. Step 2: Convert to fraction form
    71,766/167,624.44 = 167,624.44/x
  3. Step 3: Cross multiply
    71,766x = 167,624.44 × 167,624.44
  4. Step 4: Simplify right side
    71,766x = 28,097,952,047.19
  5. Step 5: Solve for x
    x = 28,097,952,047.19/71,766
  6. Step 6: Final answer
    x = 391,521.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.