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Finding the Third Proportional to 62,289 and 80,149.50

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Solution

The third proportional to 62,289 and 80,149.50 is: 103,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,289 : 80,149.50 = 80,149.50 : x
  2. Step 2: Convert to fraction form
    62,289/80,149.50 = 80,149.50/x
  3. Step 3: Cross multiply
    62,289x = 80,149.50 × 80,149.50
  4. Step 4: Simplify right side
    62,289x = 6,423,942,350.25
  5. Step 5: Solve for x
    x = 6,423,942,350.25/62,289
  6. Step 6: Final answer
    x = 103,131.25

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.