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Finding the Third Proportional to 82,149 and 176,566

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Solution

The third proportional to 82,149 and 176,566 is: 379,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149 : 176,566 = 176,566 : x
  2. Step 2: Convert to fraction form
    82,149/176,566 = 176,566/x
  3. Step 3: Cross multiply
    82,149x = 176,566 × 176,566
  4. Step 4: Simplify right side
    82,149x = 31,175,552,356
  5. Step 5: Solve for x
    x = 31,175,552,356/82,149
  6. Step 6: Final answer
    x = 379,500.08

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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.