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Finding the Third Proportional to 87,256.50 and 189,963.50

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Solution

The third proportional to 87,256.50 and 189,963.50 is: 413,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,256.50 : 189,963.50 = 189,963.50 : x
  2. Step 2: Convert to fraction form
    87,256.50/189,963.50 = 189,963.50/x
  3. Step 3: Cross multiply
    87,256.50x = 189,963.50 × 189,963.50
  4. Step 4: Simplify right side
    87,256.50x = 36,086,131,332.25
  5. Step 5: Solve for x
    x = 36,086,131,332.25/87,256.50
  6. Step 6: Final answer
    x = 413,563.82

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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.