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Finding the Third Proportional to 52,453.83 and 113,288.31

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Solution

The third proportional to 52,453.83 and 113,288.31 is: 244,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.83 : 113,288.31 = 113,288.31 : x
  2. Step 2: Convert to fraction form
    52,453.83/113,288.31 = 113,288.31/x
  3. Step 3: Cross multiply
    52,453.83x = 113,288.31 × 113,288.31
  4. Step 4: Simplify right side
    52,453.83x = 12,834,240,864.03
  5. Step 5: Solve for x
    x = 12,834,240,864.03/52,453.83
  6. Step 6: Final answer
    x = 244,676.92

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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.