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Finding the Third Proportional to 67,984 and 149,561

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Solution

The third proportional to 67,984 and 149,561 is: 329,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984 : 149,561 = 149,561 : x
  2. Step 2: Convert to fraction form
    67,984/149,561 = 149,561/x
  3. Step 3: Cross multiply
    67,984x = 149,561 × 149,561
  4. Step 4: Simplify right side
    67,984x = 22,368,492,721
  5. Step 5: Solve for x
    x = 22,368,492,721/67,984
  6. Step 6: Final answer
    x = 329,025.84

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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.