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Finding the Third Proportional to 87,102 and 190,812

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Solution

The third proportional to 87,102 and 190,812 is: 418,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102 : 190,812 = 190,812 : x
  2. Step 2: Convert to fraction form
    87,102/190,812 = 190,812/x
  3. Step 3: Cross multiply
    87,102x = 190,812 × 190,812
  4. Step 4: Simplify right side
    87,102x = 36,409,219,344
  5. Step 5: Solve for x
    x = 36,409,219,344/87,102
  6. Step 6: Final answer
    x = 418,006.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.