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Finding the Third Proportional to 41,897 and 88,103

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Solution

The third proportional to 41,897 and 88,103 is: 185,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,897 : 88,103 = 88,103 : x
  2. Step 2: Convert to fraction form
    41,897/88,103 = 88,103/x
  3. Step 3: Cross multiply
    41,897x = 88,103 × 88,103
  4. Step 4: Simplify right side
    41,897x = 7,762,138,609
  5. Step 5: Solve for x
    x = 7,762,138,609/41,897
  6. Step 6: Final answer
    x = 185,267.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.