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Finding the Third Proportional to 87,412 and 187,287

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Solution

The third proportional to 87,412 and 187,287 is: 401,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,412 : 187,287 = 187,287 : x
  2. Step 2: Convert to fraction form
    87,412/187,287 = 187,287/x
  3. Step 3: Cross multiply
    87,412x = 187,287 × 187,287
  4. Step 4: Simplify right side
    87,412x = 35,076,420,369
  5. Step 5: Solve for x
    x = 35,076,420,369/87,412
  6. Step 6: Final answer
    x = 401,276.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.