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Finding the Third Proportional to 67,852 and 149,480

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Solution

The third proportional to 67,852 and 149,480 is: 329,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,852 : 149,480 = 149,480 : x
  2. Step 2: Convert to fraction form
    67,852/149,480 = 149,480/x
  3. Step 3: Cross multiply
    67,852x = 149,480 × 149,480
  4. Step 4: Simplify right side
    67,852x = 22,344,270,400
  5. Step 5: Solve for x
    x = 22,344,270,400/67,852
  6. Step 6: Final answer
    x = 329,308.94

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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.