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Finding the Third Proportional to 52,777.50 and 107,703

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Solution

The third proportional to 52,777.50 and 107,703 is: 219,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,777.50 : 107,703 = 107,703 : x
  2. Step 2: Convert to fraction form
    52,777.50/107,703 = 107,703/x
  3. Step 3: Cross multiply
    52,777.50x = 107,703 × 107,703
  4. Step 4: Simplify right side
    52,777.50x = 11,599,936,209
  5. Step 5: Solve for x
    x = 11,599,936,209/52,777.50
  6. Step 6: Final answer
    x = 219,789.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.