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Finding the Third Proportional to 87,337 and 187,125

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Solution

The third proportional to 87,337 and 187,125 is: 400,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,337 : 187,125 = 187,125 : x
  2. Step 2: Convert to fraction form
    87,337/187,125 = 187,125/x
  3. Step 3: Cross multiply
    87,337x = 187,125 × 187,125
  4. Step 4: Simplify right side
    87,337x = 35,015,765,625
  5. Step 5: Solve for x
    x = 35,015,765,625/87,337
  6. Step 6: Final answer
    x = 400,927.05

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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.