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Finding the Third Proportional to 70,384 and 149,404

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Solution

The third proportional to 70,384 and 149,404 is: 317,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384 : 149,404 = 149,404 : x
  2. Step 2: Convert to fraction form
    70,384/149,404 = 149,404/x
  3. Step 3: Cross multiply
    70,384x = 149,404 × 149,404
  4. Step 4: Simplify right side
    70,384x = 22,321,555,216
  5. Step 5: Solve for x
    x = 22,321,555,216/70,384
  6. Step 6: Final answer
    x = 317,139.62

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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.