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Finding the Third Proportional to 48,268.75 and 104,841.50

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Solution

The third proportional to 48,268.75 and 104,841.50 is: 227,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,268.75 : 104,841.50 = 104,841.50 : x
  2. Step 2: Convert to fraction form
    48,268.75/104,841.50 = 104,841.50/x
  3. Step 3: Cross multiply
    48,268.75x = 104,841.50 × 104,841.50
  4. Step 4: Simplify right side
    48,268.75x = 10,991,740,122.25
  5. Step 5: Solve for x
    x = 10,991,740,122.25/48,268.75
  6. Step 6: Final answer
    x = 227,719.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.