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Finding the Third Proportional to 63,993 and 95,989.50

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Solution

The third proportional to 63,993 and 95,989.50 is: 143,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,993 : 95,989.50 = 95,989.50 : x
  2. Step 2: Convert to fraction form
    63,993/95,989.50 = 95,989.50/x
  3. Step 3: Cross multiply
    63,993x = 95,989.50 × 95,989.50
  4. Step 4: Simplify right side
    63,993x = 9,213,984,110.25
  5. Step 5: Solve for x
    x = 9,213,984,110.25/63,993
  6. Step 6: Final answer
    x = 143,984.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.