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Finding the Third Proportional to 49,762 and 104,133

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Solution

The third proportional to 49,762 and 104,133 is: 217,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762 : 104,133 = 104,133 : x
  2. Step 2: Convert to fraction form
    49,762/104,133 = 104,133/x
  3. Step 3: Cross multiply
    49,762x = 104,133 × 104,133
  4. Step 4: Simplify right side
    49,762x = 10,843,681,689
  5. Step 5: Solve for x
    x = 10,843,681,689/49,762
  6. Step 6: Final answer
    x = 217,910.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.