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Finding the Third Proportional to 50,535.56 and 107,232.19

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Solution

The third proportional to 50,535.56 and 107,232.19 is: 227,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535.56 : 107,232.19 = 107,232.19 : x
  2. Step 2: Convert to fraction form
    50,535.56/107,232.19 = 107,232.19/x
  3. Step 3: Cross multiply
    50,535.56x = 107,232.19 × 107,232.19
  4. Step 4: Simplify right side
    50,535.56x = 11,498,742,036.04
  5. Step 5: Solve for x
    x = 11,498,742,036.04/50,535.56
  6. Step 6: Final answer
    x = 227,537.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.