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Finding the Third Proportional to 107,713.13 and 170,479.69

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Solution

The third proportional to 107,713.13 and 170,479.69 is: 269,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,713.13 : 170,479.69 = 170,479.69 : x
  2. Step 2: Convert to fraction form
    107,713.13/170,479.69 = 170,479.69/x
  3. Step 3: Cross multiply
    107,713.13x = 170,479.69 × 170,479.69
  4. Step 4: Simplify right side
    107,713.13x = 29,063,323,850.10
  5. Step 5: Solve for x
    x = 29,063,323,850.10/107,713.13
  6. Step 6: Final answer
    x = 269,821.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.