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Finding the Third Proportional to 80,856.50 and 127,225

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Solution

The third proportional to 80,856.50 and 127,225 is: 200,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856.50 : 127,225 = 127,225 : x
  2. Step 2: Convert to fraction form
    80,856.50/127,225 = 127,225/x
  3. Step 3: Cross multiply
    80,856.50x = 127,225 × 127,225
  4. Step 4: Simplify right side
    80,856.50x = 16,186,200,625
  5. Step 5: Solve for x
    x = 16,186,200,625/80,856.50
  6. Step 6: Final answer
    x = 200,184.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.