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Finding the Third Proportional to 63,222 and 95,002

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Solution

The third proportional to 63,222 and 95,002 is: 142,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,222 : 95,002 = 95,002 : x
  2. Step 2: Convert to fraction form
    63,222/95,002 = 95,002/x
  3. Step 3: Cross multiply
    63,222x = 95,002 × 95,002
  4. Step 4: Simplify right side
    63,222x = 9,025,380,004
  5. Step 5: Solve for x
    x = 9,025,380,004/63,222
  6. Step 6: Final answer
    x = 142,756.95

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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.