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Finding the Third Proportional to 139,591.69 and 170,209.69

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Solution

The third proportional to 139,591.69 and 170,209.69 is: 207,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,591.69 : 170,209.69 = 170,209.69 : x
  2. Step 2: Convert to fraction form
    139,591.69/170,209.69 = 170,209.69/x
  3. Step 3: Cross multiply
    139,591.69x = 170,209.69 × 170,209.69
  4. Step 4: Simplify right side
    139,591.69x = 28,971,337,718.85
  5. Step 5: Solve for x
    x = 28,971,337,718.85/139,591.69
  6. Step 6: Final answer
    x = 207,543.43

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.