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Finding the Third Proportional to 51,009.75 and 110,418.19

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Solution

The third proportional to 51,009.75 and 110,418.19 is: 239,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 110,418.19 = 110,418.19 : x
  2. Step 2: Convert to fraction form
    51,009.75/110,418.19 = 110,418.19/x
  3. Step 3: Cross multiply
    51,009.75x = 110,418.19 × 110,418.19
  4. Step 4: Simplify right side
    51,009.75x = 12,192,176,130.79
  5. Step 5: Solve for x
    x = 12,192,176,130.79/51,009.75
  6. Step 6: Final answer
    x = 239,016.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.