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Finding the Third Proportional to 67,742 and 148,400

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Solution

The third proportional to 67,742 and 148,400 is: 325,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742 : 148,400 = 148,400 : x
  2. Step 2: Convert to fraction form
    67,742/148,400 = 148,400/x
  3. Step 3: Cross multiply
    67,742x = 148,400 × 148,400
  4. Step 4: Simplify right side
    67,742x = 22,022,560,000
  5. Step 5: Solve for x
    x = 22,022,560,000/67,742
  6. Step 6: Final answer
    x = 325,094.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.