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Finding the Third Proportional to 36,960 and 81,294

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Solution

The third proportional to 36,960 and 81,294 is: 178,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 81,294 = 81,294 : x
  2. Step 2: Convert to fraction form
    36,960/81,294 = 81,294/x
  3. Step 3: Cross multiply
    36,960x = 81,294 × 81,294
  4. Step 4: Simplify right side
    36,960x = 6,608,714,436
  5. Step 5: Solve for x
    x = 6,608,714,436/36,960
  6. Step 6: Final answer
    x = 178,807.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.