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Finding the Third Proportional to 82,940 and 177,716

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Solution

The third proportional to 82,940 and 177,716 is: 380,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940 : 177,716 = 177,716 : x
  2. Step 2: Convert to fraction form
    82,940/177,716 = 177,716/x
  3. Step 3: Cross multiply
    82,940x = 177,716 × 177,716
  4. Step 4: Simplify right side
    82,940x = 31,582,976,656
  5. Step 5: Solve for x
    x = 31,582,976,656/82,940
  6. Step 6: Final answer
    x = 380,793.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.