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Finding the Third Proportional to 67,987 and 149,416

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Solution

The third proportional to 67,987 and 149,416 is: 328,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,987 : 149,416 = 149,416 : x
  2. Step 2: Convert to fraction form
    67,987/149,416 = 149,416/x
  3. Step 3: Cross multiply
    67,987x = 149,416 × 149,416
  4. Step 4: Simplify right side
    67,987x = 22,325,141,056
  5. Step 5: Solve for x
    x = 22,325,141,056/67,987
  6. Step 6: Final answer
    x = 328,373.68

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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.