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Finding the Third Proportional to 50,929 and 112,011

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Solution

The third proportional to 50,929 and 112,011 is: 246,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,929 : 112,011 = 112,011 : x
  2. Step 2: Convert to fraction form
    50,929/112,011 = 112,011/x
  3. Step 3: Cross multiply
    50,929x = 112,011 × 112,011
  4. Step 4: Simplify right side
    50,929x = 12,546,464,121
  5. Step 5: Solve for x
    x = 12,546,464,121/50,929
  6. Step 6: Final answer
    x = 246,352.06

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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.