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Finding the Third Proportional to 41,138 and 62,159

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Solution

The third proportional to 41,138 and 62,159 is: 93,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,138 : 62,159 = 62,159 : x
  2. Step 2: Convert to fraction form
    41,138/62,159 = 62,159/x
  3. Step 3: Cross multiply
    41,138x = 62,159 × 62,159
  4. Step 4: Simplify right side
    41,138x = 3,863,741,281
  5. Step 5: Solve for x
    x = 3,863,741,281/41,138
  6. Step 6: Final answer
    x = 93,921.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.