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Finding the Third Proportional to 36,972 and 80,856

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Solution

The third proportional to 36,972 and 80,856 is: 176,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 80,856 = 80,856 : x
  2. Step 2: Convert to fraction form
    36,972/80,856 = 80,856/x
  3. Step 3: Cross multiply
    36,972x = 80,856 × 80,856
  4. Step 4: Simplify right side
    36,972x = 6,537,692,736
  5. Step 5: Solve for x
    x = 6,537,692,736/36,972
  6. Step 6: Final answer
    x = 176,828.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.