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Finding the Third Proportional to 50,646 and 109,932

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Solution

The third proportional to 50,646 and 109,932 is: 238,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646 : 109,932 = 109,932 : x
  2. Step 2: Convert to fraction form
    50,646/109,932 = 109,932/x
  3. Step 3: Cross multiply
    50,646x = 109,932 × 109,932
  4. Step 4: Simplify right side
    50,646x = 12,085,044,624
  5. Step 5: Solve for x
    x = 12,085,044,624/50,646
  6. Step 6: Final answer
    x = 238,617.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.