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Finding the Third Proportional to 63,974 and 149,454

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Solution

The third proportional to 63,974 and 149,454 is: 349,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,974 : 149,454 = 149,454 : x
  2. Step 2: Convert to fraction form
    63,974/149,454 = 149,454/x
  3. Step 3: Cross multiply
    63,974x = 149,454 × 149,454
  4. Step 4: Simplify right side
    63,974x = 22,336,498,116
  5. Step 5: Solve for x
    x = 22,336,498,116/63,974
  6. Step 6: Final answer
    x = 349,149.63

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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.