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Finding the Third Proportional to 82,080 and 176,825

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Solution

The third proportional to 82,080 and 176,825 is: 380,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080 : 176,825 = 176,825 : x
  2. Step 2: Convert to fraction form
    82,080/176,825 = 176,825/x
  3. Step 3: Cross multiply
    82,080x = 176,825 × 176,825
  4. Step 4: Simplify right side
    82,080x = 31,267,080,625
  5. Step 5: Solve for x
    x = 31,267,080,625/82,080
  6. Step 6: Final answer
    x = 380,934.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.