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Finding the Third Proportional to 87,012 and 185,404

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Solution

The third proportional to 87,012 and 185,404 is: 395,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,012 : 185,404 = 185,404 : x
  2. Step 2: Convert to fraction form
    87,012/185,404 = 185,404/x
  3. Step 3: Cross multiply
    87,012x = 185,404 × 185,404
  4. Step 4: Simplify right side
    87,012x = 34,374,643,216
  5. Step 5: Solve for x
    x = 34,374,643,216/87,012
  6. Step 6: Final answer
    x = 395,056.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.