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Finding the Third Proportional to 48,535.25 and 106,050.50

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Solution

The third proportional to 48,535.25 and 106,050.50 is: 231,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535.25 : 106,050.50 = 106,050.50 : x
  2. Step 2: Convert to fraction form
    48,535.25/106,050.50 = 106,050.50/x
  3. Step 3: Cross multiply
    48,535.25x = 106,050.50 × 106,050.50
  4. Step 4: Simplify right side
    48,535.25x = 11,246,708,550.25
  5. Step 5: Solve for x
    x = 11,246,708,550.25/48,535.25
  6. Step 6: Final answer
    x = 231,722.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.