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Finding the Third Proportional to 63,999 and 96,002

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Solution

The third proportional to 63,999 and 96,002 is: 144,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,999 : 96,002 = 96,002 : x
  2. Step 2: Convert to fraction form
    63,999/96,002 = 96,002/x
  3. Step 3: Cross multiply
    63,999x = 96,002 × 96,002
  4. Step 4: Simplify right side
    63,999x = 9,216,384,004
  5. Step 5: Solve for x
    x = 9,216,384,004/63,999
  6. Step 6: Final answer
    x = 144,008.25

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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.