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Finding the Third Proportional to 49,395 and 106,294

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Solution

The third proportional to 49,395 and 106,294 is: 228,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,395 : 106,294 = 106,294 : x
  2. Step 2: Convert to fraction form
    49,395/106,294 = 106,294/x
  3. Step 3: Cross multiply
    49,395x = 106,294 × 106,294
  4. Step 4: Simplify right side
    49,395x = 11,298,414,436
  5. Step 5: Solve for x
    x = 11,298,414,436/49,395
  6. Step 6: Final answer
    x = 228,735.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.