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Finding the Third Proportional to 49,104 and 101,853

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Solution

The third proportional to 49,104 and 101,853 is: 211,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104 : 101,853 = 101,853 : x
  2. Step 2: Convert to fraction form
    49,104/101,853 = 101,853/x
  3. Step 3: Cross multiply
    49,104x = 101,853 × 101,853
  4. Step 4: Simplify right side
    49,104x = 10,374,033,609
  5. Step 5: Solve for x
    x = 10,374,033,609/49,104
  6. Step 6: Final answer
    x = 211,266.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.