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Finding the Third Proportional to 87,369.75 and 186,187.50

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Solution

The third proportional to 87,369.75 and 186,187.50 is: 396,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,369.75 : 186,187.50 = 186,187.50 : x
  2. Step 2: Convert to fraction form
    87,369.75/186,187.50 = 186,187.50/x
  3. Step 3: Cross multiply
    87,369.75x = 186,187.50 × 186,187.50
  4. Step 4: Simplify right side
    87,369.75x = 34,665,785,156.25
  5. Step 5: Solve for x
    x = 34,665,785,156.25/87,369.75
  6. Step 6: Final answer
    x = 396,771.02

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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.