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Finding the Third Proportional to 91,797.75 and 140,420.25

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Solution

The third proportional to 91,797.75 and 140,420.25 is: 214,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,797.75 : 140,420.25 = 140,420.25 : x
  2. Step 2: Convert to fraction form
    91,797.75/140,420.25 = 140,420.25/x
  3. Step 3: Cross multiply
    91,797.75x = 140,420.25 × 140,420.25
  4. Step 4: Simplify right side
    91,797.75x = 19,717,846,610.06
  5. Step 5: Solve for x
    x = 19,717,846,610.06/91,797.75
  6. Step 6: Final answer
    x = 214,796.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.