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Finding the Third Proportional to 41,149 and 61,453

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Solution

The third proportional to 41,149 and 61,453 is: 91,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,149 : 61,453 = 61,453 : x
  2. Step 2: Convert to fraction form
    41,149/61,453 = 61,453/x
  3. Step 3: Cross multiply
    41,149x = 61,453 × 61,453
  4. Step 4: Simplify right side
    41,149x = 3,776,471,209
  5. Step 5: Solve for x
    x = 3,776,471,209/41,149
  6. Step 6: Final answer
    x = 91,775.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.