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Finding the Third Proportional to 82,107.38 and 177,708.75

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Solution

The third proportional to 82,107.38 and 177,708.75 is: 384,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.38 : 177,708.75 = 177,708.75 : x
  2. Step 2: Convert to fraction form
    82,107.38/177,708.75 = 177,708.75/x
  3. Step 3: Cross multiply
    82,107.38x = 177,708.75 × 177,708.75
  4. Step 4: Simplify right side
    82,107.38x = 31,580,399,826.56
  5. Step 5: Solve for x
    x = 31,580,399,826.56/82,107.38
  6. Step 6: Final answer
    x = 384,623.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.