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Finding the Third Proportional to 41,159 and 61,562

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Solution

The third proportional to 41,159 and 61,562 is: 92,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,159 : 61,562 = 61,562 : x
  2. Step 2: Convert to fraction form
    41,159/61,562 = 61,562/x
  3. Step 3: Cross multiply
    41,159x = 61,562 × 61,562
  4. Step 4: Simplify right side
    41,159x = 3,789,879,844
  5. Step 5: Solve for x
    x = 3,789,879,844/41,159
  6. Step 6: Final answer
    x = 92,079.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.