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Finding the Third Proportional to 80,697 and 176,157

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Solution

The third proportional to 80,697 and 176,157 is: 384,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,697 : 176,157 = 176,157 : x
  2. Step 2: Convert to fraction form
    80,697/176,157 = 176,157/x
  3. Step 3: Cross multiply
    80,697x = 176,157 × 176,157
  4. Step 4: Simplify right side
    80,697x = 31,031,288,649
  5. Step 5: Solve for x
    x = 31,031,288,649/80,697
  6. Step 6: Final answer
    x = 384,540.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.