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Finding the Third Proportional to 51,732.42 and 110,844.07

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Solution

The third proportional to 51,732.42 and 110,844.07 is: 237,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732.42 : 110,844.07 = 110,844.07 : x
  2. Step 2: Convert to fraction form
    51,732.42/110,844.07 = 110,844.07/x
  3. Step 3: Cross multiply
    51,732.42x = 110,844.07 × 110,844.07
  4. Step 4: Simplify right side
    51,732.42x = 12,286,407,923.44
  5. Step 5: Solve for x
    x = 12,286,407,923.44/51,732.42
  6. Step 6: Final answer
    x = 237,499.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.