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Finding the Third Proportional to 36,976 and 81,140

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Solution

The third proportional to 36,976 and 81,140 is: 178,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976 : 81,140 = 81,140 : x
  2. Step 2: Convert to fraction form
    36,976/81,140 = 81,140/x
  3. Step 3: Cross multiply
    36,976x = 81,140 × 81,140
  4. Step 4: Simplify right side
    36,976x = 6,583,699,600
  5. Step 5: Solve for x
    x = 6,583,699,600/36,976
  6. Step 6: Final answer
    x = 178,053.32

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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.