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Finding the Third Proportional to 63,963 and 95,945.50

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Solution

The third proportional to 63,963 and 95,945.50 is: 143,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,963 : 95,945.50 = 95,945.50 : x
  2. Step 2: Convert to fraction form
    63,963/95,945.50 = 95,945.50/x
  3. Step 3: Cross multiply
    63,963x = 95,945.50 × 95,945.50
  4. Step 4: Simplify right side
    63,963x = 9,205,538,970.25
  5. Step 5: Solve for x
    x = 9,205,538,970.25/63,963
  6. Step 6: Final answer
    x = 143,919.75

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