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Finding the Third Proportional to 50,754 and 112,388

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Solution

The third proportional to 50,754 and 112,388 is: 248,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,754 : 112,388 = 112,388 : x
  2. Step 2: Convert to fraction form
    50,754/112,388 = 112,388/x
  3. Step 3: Cross multiply
    50,754x = 112,388 × 112,388
  4. Step 4: Simplify right side
    50,754x = 12,631,062,544
  5. Step 5: Solve for x
    x = 12,631,062,544/50,754
  6. Step 6: Final answer
    x = 248,868.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.