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Finding the Third Proportional to 41,355 and 89,709.75

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Solution

The third proportional to 41,355 and 89,709.75 is: 194,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,355 : 89,709.75 = 89,709.75 : x
  2. Step 2: Convert to fraction form
    41,355/89,709.75 = 89,709.75/x
  3. Step 3: Cross multiply
    41,355x = 89,709.75 × 89,709.75
  4. Step 4: Simplify right side
    41,355x = 8,047,839,245.06
  5. Step 5: Solve for x
    x = 8,047,839,245.06/41,355
  6. Step 6: Final answer
    x = 194,603.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.