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Finding the Third Proportional to 84,627 and 185,861

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Solution

The third proportional to 84,627 and 185,861 is: 408,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,627 : 185,861 = 185,861 : x
  2. Step 2: Convert to fraction form
    84,627/185,861 = 185,861/x
  3. Step 3: Cross multiply
    84,627x = 185,861 × 185,861
  4. Step 4: Simplify right side
    84,627x = 34,544,311,321
  5. Step 5: Solve for x
    x = 34,544,311,321/84,627
  6. Step 6: Final answer
    x = 408,194.92

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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.