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Finding the Third Proportional to 63,012 and 99,825

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Solution

The third proportional to 63,012 and 99,825 is: 158,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,012 : 99,825 = 99,825 : x
  2. Step 2: Convert to fraction form
    63,012/99,825 = 99,825/x
  3. Step 3: Cross multiply
    63,012x = 99,825 × 99,825
  4. Step 4: Simplify right side
    63,012x = 9,965,030,625
  5. Step 5: Solve for x
    x = 9,965,030,625/63,012
  6. Step 6: Final answer
    x = 158,144.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.