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Finding the Third Proportional to 52,858.13 and 110,076.75

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Solution

The third proportional to 52,858.13 and 110,076.75 is: 229,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,858.13 : 110,076.75 = 110,076.75 : x
  2. Step 2: Convert to fraction form
    52,858.13/110,076.75 = 110,076.75/x
  3. Step 3: Cross multiply
    52,858.13x = 110,076.75 × 110,076.75
  4. Step 4: Simplify right side
    52,858.13x = 12,116,890,890.56
  5. Step 5: Solve for x
    x = 12,116,890,890.56/52,858.13
  6. Step 6: Final answer
    x = 229,234.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.