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Finding the Third Proportional to 49,761 and 110,639

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Solution

The third proportional to 49,761 and 110,639 is: 245,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,761 : 110,639 = 110,639 : x
  2. Step 2: Convert to fraction form
    49,761/110,639 = 110,639/x
  3. Step 3: Cross multiply
    49,761x = 110,639 × 110,639
  4. Step 4: Simplify right side
    49,761x = 12,240,988,321
  5. Step 5: Solve for x
    x = 12,240,988,321/49,761
  6. Step 6: Final answer
    x = 245,995.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.