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Finding the Third Proportional to 48,444 and 102,759

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Solution

The third proportional to 48,444 and 102,759 is: 217,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,444 : 102,759 = 102,759 : x
  2. Step 2: Convert to fraction form
    48,444/102,759 = 102,759/x
  3. Step 3: Cross multiply
    48,444x = 102,759 × 102,759
  4. Step 4: Simplify right side
    48,444x = 10,559,412,081
  5. Step 5: Solve for x
    x = 10,559,412,081/48,444
  6. Step 6: Final answer
    x = 217,971.52

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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.