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Finding the Third Proportional to 109,123 and 234,932

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Solution

The third proportional to 109,123 and 234,932 is: 505,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,123 : 234,932 = 234,932 : x
  2. Step 2: Convert to fraction form
    109,123/234,932 = 234,932/x
  3. Step 3: Cross multiply
    109,123x = 234,932 × 234,932
  4. Step 4: Simplify right side
    109,123x = 55,193,044,624
  5. Step 5: Solve for x
    x = 55,193,044,624/109,123
  6. Step 6: Final answer
    x = 505,787.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.