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Finding the Third Proportional to 89,252.50 and 185,897

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Solution

The third proportional to 89,252.50 and 185,897 is: 387,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,252.50 : 185,897 = 185,897 : x
  2. Step 2: Convert to fraction form
    89,252.50/185,897 = 185,897/x
  3. Step 3: Cross multiply
    89,252.50x = 185,897 × 185,897
  4. Step 4: Simplify right side
    89,252.50x = 34,557,694,609
  5. Step 5: Solve for x
    x = 34,557,694,609/89,252.50
  6. Step 6: Final answer
    x = 387,190.21

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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.