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Finding the Third Proportional to 51,732 and 110,338.88

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Solution

The third proportional to 51,732 and 110,338.88 is: 235,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732 : 110,338.88 = 110,338.88 : x
  2. Step 2: Convert to fraction form
    51,732/110,338.88 = 110,338.88/x
  3. Step 3: Cross multiply
    51,732x = 110,338.88 × 110,338.88
  4. Step 4: Simplify right side
    51,732x = 12,174,667,336.27
  5. Step 5: Solve for x
    x = 12,174,667,336.27/51,732
  6. Step 6: Final answer
    x = 235,341.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.