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Finding the Third Proportional to 50,478 and 107,580

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Solution

The third proportional to 50,478 and 107,580 is: 229,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478 : 107,580 = 107,580 : x
  2. Step 2: Convert to fraction form
    50,478/107,580 = 107,580/x
  3. Step 3: Cross multiply
    50,478x = 107,580 × 107,580
  4. Step 4: Simplify right side
    50,478x = 11,573,456,400
  5. Step 5: Solve for x
    x = 11,573,456,400/50,478
  6. Step 6: Final answer
    x = 229,277.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.