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Finding the Third Proportional to 67,396 and 146,456

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Solution

The third proportional to 67,396 and 146,456 is: 318,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,396 : 146,456 = 146,456 : x
  2. Step 2: Convert to fraction form
    67,396/146,456 = 146,456/x
  3. Step 3: Cross multiply
    67,396x = 146,456 × 146,456
  4. Step 4: Simplify right side
    67,396x = 21,449,359,936
  5. Step 5: Solve for x
    x = 21,449,359,936/67,396
  6. Step 6: Final answer
    x = 318,258.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.