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Finding the Third Proportional to 87,423.50 and 128,267

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Solution

The third proportional to 87,423.50 and 128,267 is: 188,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,423.50 : 128,267 = 128,267 : x
  2. Step 2: Convert to fraction form
    87,423.50/128,267 = 128,267/x
  3. Step 3: Cross multiply
    87,423.50x = 128,267 × 128,267
  4. Step 4: Simplify right side
    87,423.50x = 16,452,423,289
  5. Step 5: Solve for x
    x = 16,452,423,289/87,423.50
  6. Step 6: Final answer
    x = 188,192.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.