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Finding the Third Proportional to 49,390 and 106,678

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Solution

The third proportional to 49,390 and 106,678 is: 230,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390 : 106,678 = 106,678 : x
  2. Step 2: Convert to fraction form
    49,390/106,678 = 106,678/x
  3. Step 3: Cross multiply
    49,390x = 106,678 × 106,678
  4. Step 4: Simplify right side
    49,390x = 11,380,195,684
  5. Step 5: Solve for x
    x = 11,380,195,684/49,390
  6. Step 6: Final answer
    x = 230,414.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.