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Finding the Third Proportional to 71,020.13 and 150,798.38

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Solution

The third proportional to 71,020.13 and 150,798.38 is: 320,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,020.13 : 150,798.38 = 150,798.38 : x
  2. Step 2: Convert to fraction form
    71,020.13/150,798.38 = 150,798.38/x
  3. Step 3: Cross multiply
    71,020.13x = 150,798.38 × 150,798.38
  4. Step 4: Simplify right side
    71,020.13x = 22,740,149,902.64
  5. Step 5: Solve for x
    x = 22,740,149,902.64/71,020.13
  6. Step 6: Final answer
    x = 320,193.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.