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Finding the Third Proportional to 84,613.50 and 185,961

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Solution

The third proportional to 84,613.50 and 185,961 is: 408,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,613.50 : 185,961 = 185,961 : x
  2. Step 2: Convert to fraction form
    84,613.50/185,961 = 185,961/x
  3. Step 3: Cross multiply
    84,613.50x = 185,961 × 185,961
  4. Step 4: Simplify right side
    84,613.50x = 34,581,493,521
  5. Step 5: Solve for x
    x = 34,581,493,521/84,613.50
  6. Step 6: Final answer
    x = 408,699.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.