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Finding the Third Proportional to 52,867.13 and 110,107.13

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Solution

The third proportional to 52,867.13 and 110,107.13 is: 229,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.13 : 110,107.13 = 110,107.13 : x
  2. Step 2: Convert to fraction form
    52,867.13/110,107.13 = 110,107.13/x
  3. Step 3: Cross multiply
    52,867.13x = 110,107.13 × 110,107.13
  4. Step 4: Simplify right side
    52,867.13x = 12,123,578,975.77
  5. Step 5: Solve for x
    x = 12,123,578,975.77/52,867.13
  6. Step 6: Final answer
    x = 229,321.70

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