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Finding the Third Proportional to 48,120 and 104,975

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Solution

The third proportional to 48,120 and 104,975 is: 229,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,120 : 104,975 = 104,975 : x
  2. Step 2: Convert to fraction form
    48,120/104,975 = 104,975/x
  3. Step 3: Cross multiply
    48,120x = 104,975 × 104,975
  4. Step 4: Simplify right side
    48,120x = 11,019,750,625
  5. Step 5: Solve for x
    x = 11,019,750,625/48,120
  6. Step 6: Final answer
    x = 229,005.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.