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Finding the Third Proportional to 77,089.50 and 168,149.25

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Solution

The third proportional to 77,089.50 and 168,149.25 is: 366,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,089.50 : 168,149.25 = 168,149.25 : x
  2. Step 2: Convert to fraction form
    77,089.50/168,149.25 = 168,149.25/x
  3. Step 3: Cross multiply
    77,089.50x = 168,149.25 × 168,149.25
  4. Step 4: Simplify right side
    77,089.50x = 28,274,170,275.56
  5. Step 5: Solve for x
    x = 28,274,170,275.56/77,089.50
  6. Step 6: Final answer
    x = 366,770.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.