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Finding the Third Proportional to 48,719.25 and 106,255.50

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Solution

The third proportional to 48,719.25 and 106,255.50 is: 231,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,719.25 : 106,255.50 = 106,255.50 : x
  2. Step 2: Convert to fraction form
    48,719.25/106,255.50 = 106,255.50/x
  3. Step 3: Cross multiply
    48,719.25x = 106,255.50 × 106,255.50
  4. Step 4: Simplify right side
    48,719.25x = 11,290,231,280.25
  5. Step 5: Solve for x
    x = 11,290,231,280.25/48,719.25
  6. Step 6: Final answer
    x = 231,740.66

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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.