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Finding the Third Proportional to 71,939.25 and 158,154.75

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Solution

The third proportional to 71,939.25 and 158,154.75 is: 347,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,939.25 : 158,154.75 = 158,154.75 : x
  2. Step 2: Convert to fraction form
    71,939.25/158,154.75 = 158,154.75/x
  3. Step 3: Cross multiply
    71,939.25x = 158,154.75 × 158,154.75
  4. Step 4: Simplify right side
    71,939.25x = 25,012,924,947.56
  5. Step 5: Solve for x
    x = 25,012,924,947.56/71,939.25
  6. Step 6: Final answer
    x = 347,695.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.