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Finding the Third Proportional to 102,247 and 156,939

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Solution

The third proportional to 102,247 and 156,939 is: 240,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,247 : 156,939 = 156,939 : x
  2. Step 2: Convert to fraction form
    102,247/156,939 = 156,939/x
  3. Step 3: Cross multiply
    102,247x = 156,939 × 156,939
  4. Step 4: Simplify right side
    102,247x = 24,629,849,721
  5. Step 5: Solve for x
    x = 24,629,849,721/102,247
  6. Step 6: Final answer
    x = 240,885.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.