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Finding the Third Proportional to 80,382 and 127,380

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Solution

The third proportional to 80,382 and 127,380 is: 201,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,382 : 127,380 = 127,380 : x
  2. Step 2: Convert to fraction form
    80,382/127,380 = 127,380/x
  3. Step 3: Cross multiply
    80,382x = 127,380 × 127,380
  4. Step 4: Simplify right side
    80,382x = 16,225,664,400
  5. Step 5: Solve for x
    x = 16,225,664,400/80,382
  6. Step 6: Final answer
    x = 201,856.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.