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Finding the Third Proportional to 87,914 and 193,756

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Solution

The third proportional to 87,914 and 193,756 is: 427,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,914 : 193,756 = 193,756 : x
  2. Step 2: Convert to fraction form
    87,914/193,756 = 193,756/x
  3. Step 3: Cross multiply
    87,914x = 193,756 × 193,756
  4. Step 4: Simplify right side
    87,914x = 37,541,387,536
  5. Step 5: Solve for x
    x = 37,541,387,536/87,914
  6. Step 6: Final answer
    x = 427,024.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.