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Finding the Third Proportional to 50,173 and 68,801

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Solution

The third proportional to 50,173 and 68,801 is: 94,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,173 : 68,801 = 68,801 : x
  2. Step 2: Convert to fraction form
    50,173/68,801 = 68,801/x
  3. Step 3: Cross multiply
    50,173x = 68,801 × 68,801
  4. Step 4: Simplify right side
    50,173x = 4,733,577,601
  5. Step 5: Solve for x
    x = 4,733,577,601/50,173
  6. Step 6: Final answer
    x = 94,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.