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Finding the Third Proportional to 87,782.50 and 186,023

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Solution

The third proportional to 87,782.50 and 186,023 is: 394,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,782.50 : 186,023 = 186,023 : x
  2. Step 2: Convert to fraction form
    87,782.50/186,023 = 186,023/x
  3. Step 3: Cross multiply
    87,782.50x = 186,023 × 186,023
  4. Step 4: Simplify right side
    87,782.50x = 34,604,556,529
  5. Step 5: Solve for x
    x = 34,604,556,529/87,782.50
  6. Step 6: Final answer
    x = 394,207.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.