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Finding the Third Proportional to 50,133 and 111,473

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Solution

The third proportional to 50,133 and 111,473 is: 247,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133 : 111,473 = 111,473 : x
  2. Step 2: Convert to fraction form
    50,133/111,473 = 111,473/x
  3. Step 3: Cross multiply
    50,133x = 111,473 × 111,473
  4. Step 4: Simplify right side
    50,133x = 12,426,229,729
  5. Step 5: Solve for x
    x = 12,426,229,729/50,133
  6. Step 6: Final answer
    x = 247,865.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.