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Finding the Third Proportional to 102,227 and 156,910

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Solution

The third proportional to 102,227 and 156,910 is: 240,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227 : 156,910 = 156,910 : x
  2. Step 2: Convert to fraction form
    102,227/156,910 = 156,910/x
  3. Step 3: Cross multiply
    102,227x = 156,910 × 156,910
  4. Step 4: Simplify right side
    102,227x = 24,620,748,100
  5. Step 5: Solve for x
    x = 24,620,748,100/102,227
  6. Step 6: Final answer
    x = 240,843.89

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