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Finding the Third Proportional to 49,000 and 103,887

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Solution

The third proportional to 49,000 and 103,887 is: 220,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000 : 103,887 = 103,887 : x
  2. Step 2: Convert to fraction form
    49,000/103,887 = 103,887/x
  3. Step 3: Cross multiply
    49,000x = 103,887 × 103,887
  4. Step 4: Simplify right side
    49,000x = 10,792,508,769
  5. Step 5: Solve for x
    x = 10,792,508,769/49,000
  6. Step 6: Final answer
    x = 220,255.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.