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Finding the Third Proportional to 50,863.13 and 110,482.69

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Solution

The third proportional to 50,863.13 and 110,482.69 is: 239,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,863.13 : 110,482.69 = 110,482.69 : x
  2. Step 2: Convert to fraction form
    50,863.13/110,482.69 = 110,482.69/x
  3. Step 3: Cross multiply
    50,863.13x = 110,482.69 × 110,482.69
  4. Step 4: Simplify right side
    50,863.13x = 12,206,424,237.22
  5. Step 5: Solve for x
    x = 12,206,424,237.22/50,863.13
  6. Step 6: Final answer
    x = 239,985.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.