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Finding the Third Proportional to 48,268.50 and 106,360.50

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Solution

The third proportional to 48,268.50 and 106,360.50 is: 234,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,268.50 : 106,360.50 = 106,360.50 : x
  2. Step 2: Convert to fraction form
    48,268.50/106,360.50 = 106,360.50/x
  3. Step 3: Cross multiply
    48,268.50x = 106,360.50 × 106,360.50
  4. Step 4: Simplify right side
    48,268.50x = 11,312,555,960.25
  5. Step 5: Solve for x
    x = 11,312,555,960.25/48,268.50
  6. Step 6: Final answer
    x = 234,367.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.