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Finding the Third Proportional to 51,767.86 and 110,910.52

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Solution

The third proportional to 51,767.86 and 110,910.52 is: 237,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,767.86 : 110,910.52 = 110,910.52 : x
  2. Step 2: Convert to fraction form
    51,767.86/110,910.52 = 110,910.52/x
  3. Step 3: Cross multiply
    51,767.86x = 110,910.52 × 110,910.52
  4. Step 4: Simplify right side
    51,767.86x = 12,301,142,476.20
  5. Step 5: Solve for x
    x = 12,301,142,476.20/51,767.86
  6. Step 6: Final answer
    x = 237,621.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.