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Finding the Third Proportional to 65,189 and 156,991

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Solution

The third proportional to 65,189 and 156,991 is: 378,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189 : 156,991 = 156,991 : x
  2. Step 2: Convert to fraction form
    65,189/156,991 = 156,991/x
  3. Step 3: Cross multiply
    65,189x = 156,991 × 156,991
  4. Step 4: Simplify right side
    65,189x = 24,646,174,081
  5. Step 5: Solve for x
    x = 24,646,174,081/65,189
  6. Step 6: Final answer
    x = 378,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.