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Finding the Third Proportional to 91,760 and 129,215

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Solution

The third proportional to 91,760 and 129,215 is: 181,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760 : 129,215 = 129,215 : x
  2. Step 2: Convert to fraction form
    91,760/129,215 = 129,215/x
  3. Step 3: Cross multiply
    91,760x = 129,215 × 129,215
  4. Step 4: Simplify right side
    91,760x = 16,696,516,225
  5. Step 5: Solve for x
    x = 16,696,516,225/91,760
  6. Step 6: Final answer
    x = 181,958.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.