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Finding the Third Proportional to 43,974 and 106,289

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Solution

The third proportional to 43,974 and 106,289 is: 256,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,974 : 106,289 = 106,289 : x
  2. Step 2: Convert to fraction form
    43,974/106,289 = 106,289/x
  3. Step 3: Cross multiply
    43,974x = 106,289 × 106,289
  4. Step 4: Simplify right side
    43,974x = 11,297,351,521
  5. Step 5: Solve for x
    x = 11,297,351,521/43,974
  6. Step 6: Final answer
    x = 256,909.80

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.