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Finding the Third Proportional to 50,016 and 75,560

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Solution

The third proportional to 50,016 and 75,560 is: 114,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,016 : 75,560 = 75,560 : x
  2. Step 2: Convert to fraction form
    50,016/75,560 = 75,560/x
  3. Step 3: Cross multiply
    50,016x = 75,560 × 75,560
  4. Step 4: Simplify right side
    50,016x = 5,709,313,600
  5. Step 5: Solve for x
    x = 5,709,313,600/50,016
  6. Step 6: Final answer
    x = 114,149.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.