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Finding the Third Proportional to 87,723.75 and 185,911.88

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Solution

The third proportional to 87,723.75 and 185,911.88 is: 394,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,723.75 : 185,911.88 = 185,911.88 : x
  2. Step 2: Convert to fraction form
    87,723.75/185,911.88 = 185,911.88/x
  3. Step 3: Cross multiply
    87,723.75x = 185,911.88 × 185,911.88
  4. Step 4: Simplify right side
    87,723.75x = 34,563,225,266.02
  5. Step 5: Solve for x
    x = 34,563,225,266.02/87,723.75
  6. Step 6: Final answer
    x = 394,000.77

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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.