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Finding the Third Proportional to 51,235.03 and 110,124.56

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Solution

The third proportional to 51,235.03 and 110,124.56 is: 236,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235.03 : 110,124.56 = 110,124.56 : x
  2. Step 2: Convert to fraction form
    51,235.03/110,124.56 = 110,124.56/x
  3. Step 3: Cross multiply
    51,235.03x = 110,124.56 × 110,124.56
  4. Step 4: Simplify right side
    51,235.03x = 12,127,419,265.82
  5. Step 5: Solve for x
    x = 12,127,419,265.82/51,235.03
  6. Step 6: Final answer
    x = 236,701.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.