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Finding the Third Proportional to 67,493.25 and 143,292.38

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Solution

The third proportional to 67,493.25 and 143,292.38 is: 304,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,493.25 : 143,292.38 = 143,292.38 : x
  2. Step 2: Convert to fraction form
    67,493.25/143,292.38 = 143,292.38/x
  3. Step 3: Cross multiply
    67,493.25x = 143,292.38 × 143,292.38
  4. Step 4: Simplify right side
    67,493.25x = 20,532,704,733.14
  5. Step 5: Solve for x
    x = 20,532,704,733.14/67,493.25
  6. Step 6: Final answer
    x = 304,218.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.