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Finding the Third Proportional to 50,720 and 111,816

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Solution

The third proportional to 50,720 and 111,816 is: 246,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,720 : 111,816 = 111,816 : x
  2. Step 2: Convert to fraction form
    50,720/111,816 = 111,816/x
  3. Step 3: Cross multiply
    50,720x = 111,816 × 111,816
  4. Step 4: Simplify right side
    50,720x = 12,502,817,856
  5. Step 5: Solve for x
    x = 12,502,817,856/50,720
  6. Step 6: Final answer
    x = 246,506.66

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