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Finding the Third Proportional to 92,014 and 187,897

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Solution

The third proportional to 92,014 and 187,897 is: 383,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014 : 187,897 = 187,897 : x
  2. Step 2: Convert to fraction form
    92,014/187,897 = 187,897/x
  3. Step 3: Cross multiply
    92,014x = 187,897 × 187,897
  4. Step 4: Simplify right side
    92,014x = 35,305,282,609
  5. Step 5: Solve for x
    x = 35,305,282,609/92,014
  6. Step 6: Final answer
    x = 383,694.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.