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Finding the Third Proportional to 51,062.06 and 112,203.56

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Solution

The third proportional to 51,062.06 and 112,203.56 is: 246,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,062.06 : 112,203.56 = 112,203.56 : x
  2. Step 2: Convert to fraction form
    51,062.06/112,203.56 = 112,203.56/x
  3. Step 3: Cross multiply
    51,062.06x = 112,203.56 × 112,203.56
  4. Step 4: Simplify right side
    51,062.06x = 12,589,639,437.69
  5. Step 5: Solve for x
    x = 12,589,639,437.69/51,062.06
  6. Step 6: Final answer
    x = 246,555.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.