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Finding the Third Proportional to 103,667 and 191,760

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Solution

The third proportional to 103,667 and 191,760 is: 354,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,667 : 191,760 = 191,760 : x
  2. Step 2: Convert to fraction form
    103,667/191,760 = 191,760/x
  3. Step 3: Cross multiply
    103,667x = 191,760 × 191,760
  4. Step 4: Simplify right side
    103,667x = 36,771,897,600
  5. Step 5: Solve for x
    x = 36,771,897,600/103,667
  6. Step 6: Final answer
    x = 354,711.70

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.