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Finding the Third Proportional to 89,244 and 185,850

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Solution

The third proportional to 89,244 and 185,850 is: 387,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,244 : 185,850 = 185,850 : x
  2. Step 2: Convert to fraction form
    89,244/185,850 = 185,850/x
  3. Step 3: Cross multiply
    89,244x = 185,850 × 185,850
  4. Step 4: Simplify right side
    89,244x = 34,540,222,500
  5. Step 5: Solve for x
    x = 34,540,222,500/89,244
  6. Step 6: Final answer
    x = 387,031.31

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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.