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Finding the Third Proportional to 67,322 and 146,462

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Solution

The third proportional to 67,322 and 146,462 is: 318,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,322 : 146,462 = 146,462 : x
  2. Step 2: Convert to fraction form
    67,322/146,462 = 146,462/x
  3. Step 3: Cross multiply
    67,322x = 146,462 × 146,462
  4. Step 4: Simplify right side
    67,322x = 21,451,117,444
  5. Step 5: Solve for x
    x = 21,451,117,444/67,322
  6. Step 6: Final answer
    x = 318,634.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.