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Finding the Third Proportional to 72,375.38 and 159,475.13

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Solution

The third proportional to 72,375.38 and 159,475.13 is: 351,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,375.38 : 159,475.13 = 159,475.13 : x
  2. Step 2: Convert to fraction form
    72,375.38/159,475.13 = 159,475.13/x
  3. Step 3: Cross multiply
    72,375.38x = 159,475.13 × 159,475.13
  4. Step 4: Simplify right side
    72,375.38x = 25,432,315,493.77
  5. Step 5: Solve for x
    x = 25,432,315,493.77/72,375.38
  6. Step 6: Final answer
    x = 351,394.59

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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.