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Finding the Third Proportional to 50,498 and 106,320

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Solution

The third proportional to 50,498 and 106,320 is: 223,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 106,320 = 106,320 : x
  2. Step 2: Convert to fraction form
    50,498/106,320 = 106,320/x
  3. Step 3: Cross multiply
    50,498x = 106,320 × 106,320
  4. Step 4: Simplify right side
    50,498x = 11,303,942,400
  5. Step 5: Solve for x
    x = 11,303,942,400/50,498
  6. Step 6: Final answer
    x = 223,849.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.