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Finding the Third Proportional to 59,976.75 and 138,847.50

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Solution

The third proportional to 59,976.75 and 138,847.50 is: 321,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,976.75 : 138,847.50 = 138,847.50 : x
  2. Step 2: Convert to fraction form
    59,976.75/138,847.50 = 138,847.50/x
  3. Step 3: Cross multiply
    59,976.75x = 138,847.50 × 138,847.50
  4. Step 4: Simplify right side
    59,976.75x = 19,278,628,256.25
  5. Step 5: Solve for x
    x = 19,278,628,256.25/59,976.75
  6. Step 6: Final answer
    x = 321,435.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.