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Finding the Third Proportional to 63,956 and 149,384

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Solution

The third proportional to 63,956 and 149,384 is: 348,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,956 : 149,384 = 149,384 : x
  2. Step 2: Convert to fraction form
    63,956/149,384 = 149,384/x
  3. Step 3: Cross multiply
    63,956x = 149,384 × 149,384
  4. Step 4: Simplify right side
    63,956x = 22,315,579,456
  5. Step 5: Solve for x
    x = 22,315,579,456/63,956
  6. Step 6: Final answer
    x = 348,920.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.