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Finding the Third Proportional to 49,170 and 106,084

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Solution

The third proportional to 49,170 and 106,084 is: 228,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170 : 106,084 = 106,084 : x
  2. Step 2: Convert to fraction form
    49,170/106,084 = 106,084/x
  3. Step 3: Cross multiply
    49,170x = 106,084 × 106,084
  4. Step 4: Simplify right side
    49,170x = 11,253,815,056
  5. Step 5: Solve for x
    x = 11,253,815,056/49,170
  6. Step 6: Final answer
    x = 228,875.64

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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.