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Finding the Third Proportional to 49,645 and 106,398

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Solution

The third proportional to 49,645 and 106,398 is: 228,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,645 : 106,398 = 106,398 : x
  2. Step 2: Convert to fraction form
    49,645/106,398 = 106,398/x
  3. Step 3: Cross multiply
    49,645x = 106,398 × 106,398
  4. Step 4: Simplify right side
    49,645x = 11,320,534,404
  5. Step 5: Solve for x
    x = 11,320,534,404/49,645
  6. Step 6: Final answer
    x = 228,029.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.