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Finding the Third Proportional to 63,412 and 149,962

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Solution

The third proportional to 63,412 and 149,962 is: 354,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,412 : 149,962 = 149,962 : x
  2. Step 2: Convert to fraction form
    63,412/149,962 = 149,962/x
  3. Step 3: Cross multiply
    63,412x = 149,962 × 149,962
  4. Step 4: Simplify right side
    63,412x = 22,488,601,444
  5. Step 5: Solve for x
    x = 22,488,601,444/63,412
  6. Step 6: Final answer
    x = 354,642.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.