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Finding the Third Proportional to 81,904.75 and 175,195

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Solution

The third proportional to 81,904.75 and 175,195 is: 374,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904.75 : 175,195 = 175,195 : x
  2. Step 2: Convert to fraction form
    81,904.75/175,195 = 175,195/x
  3. Step 3: Cross multiply
    81,904.75x = 175,195 × 175,195
  4. Step 4: Simplify right side
    81,904.75x = 30,693,288,025
  5. Step 5: Solve for x
    x = 30,693,288,025/81,904.75
  6. Step 6: Final answer
    x = 374,743.69

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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.