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Finding the Third Proportional to 85,997 and 187,612

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Solution

The third proportional to 85,997 and 187,612 is: 409,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,997 : 187,612 = 187,612 : x
  2. Step 2: Convert to fraction form
    85,997/187,612 = 187,612/x
  3. Step 3: Cross multiply
    85,997x = 187,612 × 187,612
  4. Step 4: Simplify right side
    85,997x = 35,198,262,544
  5. Step 5: Solve for x
    x = 35,198,262,544/85,997
  6. Step 6: Final answer
    x = 409,296.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.