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Finding the Third Proportional to 75,244.88 and 156,717.38

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Solution

The third proportional to 75,244.88 and 156,717.38 is: 326,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,244.88 : 156,717.38 = 156,717.38 : x
  2. Step 2: Convert to fraction form
    75,244.88/156,717.38 = 156,717.38/x
  3. Step 3: Cross multiply
    75,244.88x = 156,717.38 × 156,717.38
  4. Step 4: Simplify right side
    75,244.88x = 24,560,335,626.89
  5. Step 5: Solve for x
    x = 24,560,335,626.89/75,244.88
  6. Step 6: Final answer
    x = 326,405.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.