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Finding the Third Proportional to 49,980 and 106,584

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Solution

The third proportional to 49,980 and 106,584 is: 227,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980 : 106,584 = 106,584 : x
  2. Step 2: Convert to fraction form
    49,980/106,584 = 106,584/x
  3. Step 3: Cross multiply
    49,980x = 106,584 × 106,584
  4. Step 4: Simplify right side
    49,980x = 11,360,149,056
  5. Step 5: Solve for x
    x = 11,360,149,056/49,980
  6. Step 6: Final answer
    x = 227,293.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.