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Finding the Third Proportional to 67,893 and 149,163

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Solution

The third proportional to 67,893 and 149,163 is: 327,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,893 : 149,163 = 149,163 : x
  2. Step 2: Convert to fraction form
    67,893/149,163 = 149,163/x
  3. Step 3: Cross multiply
    67,893x = 149,163 × 149,163
  4. Step 4: Simplify right side
    67,893x = 22,249,600,569
  5. Step 5: Solve for x
    x = 22,249,600,569/67,893
  6. Step 6: Final answer
    x = 327,715.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.