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Finding the Third Proportional to 107,326 and 170,195

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Solution

The third proportional to 107,326 and 170,195 is: 269,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,326 : 170,195 = 170,195 : x
  2. Step 2: Convert to fraction form
    107,326/170,195 = 170,195/x
  3. Step 3: Cross multiply
    107,326x = 170,195 × 170,195
  4. Step 4: Simplify right side
    107,326x = 28,966,338,025
  5. Step 5: Solve for x
    x = 28,966,338,025/107,326
  6. Step 6: Final answer
    x = 269,891.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.