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Finding the Third Proportional to 67,400 and 140,308

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Solution

The third proportional to 67,400 and 140,308 is: 292,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,400 : 140,308 = 140,308 : x
  2. Step 2: Convert to fraction form
    67,400/140,308 = 140,308/x
  3. Step 3: Cross multiply
    67,400x = 140,308 × 140,308
  4. Step 4: Simplify right side
    67,400x = 19,686,334,864
  5. Step 5: Solve for x
    x = 19,686,334,864/67,400
  6. Step 6: Final answer
    x = 292,082.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.