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Finding the Third Proportional to 87,396 and 187,257

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Solution

The third proportional to 87,396 and 187,257 is: 401,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,396 : 187,257 = 187,257 : x
  2. Step 2: Convert to fraction form
    87,396/187,257 = 187,257/x
  3. Step 3: Cross multiply
    87,396x = 187,257 × 187,257
  4. Step 4: Simplify right side
    87,396x = 35,065,184,049
  5. Step 5: Solve for x
    x = 35,065,184,049/87,396
  6. Step 6: Final answer
    x = 401,221.84

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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.