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Finding the Third Proportional to 107,947.69 and 170,806.22

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Solution

The third proportional to 107,947.69 and 170,806.22 is: 270,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947.69 : 170,806.22 = 170,806.22 : x
  2. Step 2: Convert to fraction form
    107,947.69/170,806.22 = 170,806.22/x
  3. Step 3: Cross multiply
    107,947.69x = 170,806.22 × 170,806.22
  4. Step 4: Simplify right side
    107,947.69x = 29,174,764,363.67
  5. Step 5: Solve for x
    x = 29,174,764,363.67/107,947.69
  6. Step 6: Final answer
    x = 270,267.62

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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.