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Finding the Third Proportional to 82,110 and 176,498

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Solution

The third proportional to 82,110 and 176,498 is: 379,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110 : 176,498 = 176,498 : x
  2. Step 2: Convert to fraction form
    82,110/176,498 = 176,498/x
  3. Step 3: Cross multiply
    82,110x = 176,498 × 176,498
  4. Step 4: Simplify right side
    82,110x = 31,151,544,004
  5. Step 5: Solve for x
    x = 31,151,544,004/82,110
  6. Step 6: Final answer
    x = 379,387.94

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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.