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Finding the Third Proportional to 47,203.25 and 75,968.75

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Solution

The third proportional to 47,203.25 and 75,968.75 is: 122,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.25 : 75,968.75 = 75,968.75 : x
  2. Step 2: Convert to fraction form
    47,203.25/75,968.75 = 75,968.75/x
  3. Step 3: Cross multiply
    47,203.25x = 75,968.75 × 75,968.75
  4. Step 4: Simplify right side
    47,203.25x = 5,771,250,976.56
  5. Step 5: Solve for x
    x = 5,771,250,976.56/47,203.25
  6. Step 6: Final answer
    x = 122,263.85

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.