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Finding the Third Proportional to 84,861 and 176,694.75

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Solution

The third proportional to 84,861 and 176,694.75 is: 367,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,861 : 176,694.75 = 176,694.75 : x
  2. Step 2: Convert to fraction form
    84,861/176,694.75 = 176,694.75/x
  3. Step 3: Cross multiply
    84,861x = 176,694.75 × 176,694.75
  4. Step 4: Simplify right side
    84,861x = 31,221,034,677.56
  5. Step 5: Solve for x
    x = 31,221,034,677.56/84,861
  6. Step 6: Final answer
    x = 367,907.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.