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Finding the Third Proportional to 80,897 and 118,267

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Solution

The third proportional to 80,897 and 118,267 is: 172,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,897 : 118,267 = 118,267 : x
  2. Step 2: Convert to fraction form
    80,897/118,267 = 118,267/x
  3. Step 3: Cross multiply
    80,897x = 118,267 × 118,267
  4. Step 4: Simplify right side
    80,897x = 13,987,083,289
  5. Step 5: Solve for x
    x = 13,987,083,289/80,897
  6. Step 6: Final answer
    x = 172,899.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.