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Finding the Third Proportional to 50,192 and 73,504

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Solution

The third proportional to 50,192 and 73,504 is: 107,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,192 : 73,504 = 73,504 : x
  2. Step 2: Convert to fraction form
    50,192/73,504 = 73,504/x
  3. Step 3: Cross multiply
    50,192x = 73,504 × 73,504
  4. Step 4: Simplify right side
    50,192x = 5,402,838,016
  5. Step 5: Solve for x
    x = 5,402,838,016/50,192
  6. Step 6: Final answer
    x = 107,643.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.