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Finding the Third Proportional to 38,123 and 78,934

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Solution

The third proportional to 38,123 and 78,934 is: 163,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,123 : 78,934 = 78,934 : x
  2. Step 2: Convert to fraction form
    38,123/78,934 = 78,934/x
  3. Step 3: Cross multiply
    38,123x = 78,934 × 78,934
  4. Step 4: Simplify right side
    38,123x = 6,230,576,356
  5. Step 5: Solve for x
    x = 6,230,576,356/38,123
  6. Step 6: Final answer
    x = 163,433.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.