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Finding the Third Proportional to 87,025.50 and 185,040

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Solution

The third proportional to 87,025.50 and 185,040 is: 393,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,025.50 : 185,040 = 185,040 : x
  2. Step 2: Convert to fraction form
    87,025.50/185,040 = 185,040/x
  3. Step 3: Cross multiply
    87,025.50x = 185,040 × 185,040
  4. Step 4: Simplify right side
    87,025.50x = 34,239,801,600
  5. Step 5: Solve for x
    x = 34,239,801,600/87,025.50
  6. Step 6: Final answer
    x = 393,445.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.