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Finding the Third Proportional to 99,172 and 151,082

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Solution

The third proportional to 99,172 and 151,082 is: 230,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,172 : 151,082 = 151,082 : x
  2. Step 2: Convert to fraction form
    99,172/151,082 = 151,082/x
  3. Step 3: Cross multiply
    99,172x = 151,082 × 151,082
  4. Step 4: Simplify right side
    99,172x = 22,825,770,724
  5. Step 5: Solve for x
    x = 22,825,770,724/99,172
  6. Step 6: Final answer
    x = 230,163.46

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Why These Related Problems?

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