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Finding the Third Proportional to 52,722.56 and 113,864.06

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Solution

The third proportional to 52,722.56 and 113,864.06 is: 245,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,722.56 : 113,864.06 = 113,864.06 : x
  2. Step 2: Convert to fraction form
    52,722.56/113,864.06 = 113,864.06/x
  3. Step 3: Cross multiply
    52,722.56x = 113,864.06 × 113,864.06
  4. Step 4: Simplify right side
    52,722.56x = 12,965,024,729.00
  5. Step 5: Solve for x
    x = 12,965,024,729.00/52,722.56
  6. Step 6: Final answer
    x = 245,910.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.