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Finding the Third Proportional to 65,144 and 99,012

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Solution

The third proportional to 65,144 and 99,012 is: 150,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144 : 99,012 = 99,012 : x
  2. Step 2: Convert to fraction form
    65,144/99,012 = 99,012/x
  3. Step 3: Cross multiply
    65,144x = 99,012 × 99,012
  4. Step 4: Simplify right side
    65,144x = 9,803,376,144
  5. Step 5: Solve for x
    x = 9,803,376,144/65,144
  6. Step 6: Final answer
    x = 150,487.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.