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Finding the Third Proportional to 52,108.50 and 106,059

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Solution

The third proportional to 52,108.50 and 106,059 is: 215,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.50 : 106,059 = 106,059 : x
  2. Step 2: Convert to fraction form
    52,108.50/106,059 = 106,059/x
  3. Step 3: Cross multiply
    52,108.50x = 106,059 × 106,059
  4. Step 4: Simplify right side
    52,108.50x = 11,248,511,481
  5. Step 5: Solve for x
    x = 11,248,511,481/52,108.50
  6. Step 6: Final answer
    x = 215,867.11

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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.