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Finding the Third Proportional to 52,047.56 and 107,785.69

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Solution

The third proportional to 52,047.56 and 107,785.69 is: 223,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.56 : 107,785.69 = 107,785.69 : x
  2. Step 2: Convert to fraction form
    52,047.56/107,785.69 = 107,785.69/x
  3. Step 3: Cross multiply
    52,047.56x = 107,785.69 × 107,785.69
  4. Step 4: Simplify right side
    52,047.56x = 11,617,754,429.85
  5. Step 5: Solve for x
    x = 11,617,754,429.85/52,047.56
  6. Step 6: Final answer
    x = 223,214.19

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.