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Finding the Third Proportional to 50,984 and 112,016

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Solution

The third proportional to 50,984 and 112,016 is: 246,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,984 : 112,016 = 112,016 : x
  2. Step 2: Convert to fraction form
    50,984/112,016 = 112,016/x
  3. Step 3: Cross multiply
    50,984x = 112,016 × 112,016
  4. Step 4: Simplify right side
    50,984x = 12,547,584,256
  5. Step 5: Solve for x
    x = 12,547,584,256/50,984
  6. Step 6: Final answer
    x = 246,108.27

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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.