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Finding the Third Proportional to 51,255 and 110,933.75

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Solution

The third proportional to 51,255 and 110,933.75 is: 240,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255 : 110,933.75 = 110,933.75 : x
  2. Step 2: Convert to fraction form
    51,255/110,933.75 = 110,933.75/x
  3. Step 3: Cross multiply
    51,255x = 110,933.75 × 110,933.75
  4. Step 4: Simplify right side
    51,255x = 12,306,296,889.06
  5. Step 5: Solve for x
    x = 12,306,296,889.06/51,255
  6. Step 6: Final answer
    x = 240,099.44

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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.