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Finding the Third Proportional to 47,759 and 102,853

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Solution

The third proportional to 47,759 and 102,853 is: 221,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759 : 102,853 = 102,853 : x
  2. Step 2: Convert to fraction form
    47,759/102,853 = 102,853/x
  3. Step 3: Cross multiply
    47,759x = 102,853 × 102,853
  4. Step 4: Simplify right side
    47,759x = 10,578,739,609
  5. Step 5: Solve for x
    x = 10,578,739,609/47,759
  6. Step 6: Final answer
    x = 221,502.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.