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Finding the Third Proportional to 81,812 and 175,288

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Solution

The third proportional to 81,812 and 175,288 is: 375,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812 : 175,288 = 175,288 : x
  2. Step 2: Convert to fraction form
    81,812/175,288 = 175,288/x
  3. Step 3: Cross multiply
    81,812x = 175,288 × 175,288
  4. Step 4: Simplify right side
    81,812x = 30,725,882,944
  5. Step 5: Solve for x
    x = 30,725,882,944/81,812
  6. Step 6: Final answer
    x = 375,566.95

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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.