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Finding the Third Proportional to 71,776.13 and 167,644.69

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Solution

The third proportional to 71,776.13 and 167,644.69 is: 391,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.13 : 167,644.69 = 167,644.69 : x
  2. Step 2: Convert to fraction form
    71,776.13/167,644.69 = 167,644.69/x
  3. Step 3: Cross multiply
    71,776.13x = 167,644.69 × 167,644.69
  4. Step 4: Simplify right side
    71,776.13x = 28,104,741,246.97
  5. Step 5: Solve for x
    x = 28,104,741,246.97/71,776.13
  6. Step 6: Final answer
    x = 391,561.14

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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.