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Finding the Third Proportional to 49,126 and 104,102

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Solution

The third proportional to 49,126 and 104,102 is: 220,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,126 : 104,102 = 104,102 : x
  2. Step 2: Convert to fraction form
    49,126/104,102 = 104,102/x
  3. Step 3: Cross multiply
    49,126x = 104,102 × 104,102
  4. Step 4: Simplify right side
    49,126x = 10,837,226,404
  5. Step 5: Solve for x
    x = 10,837,226,404/49,126
  6. Step 6: Final answer
    x = 220,600.63

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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.