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Finding the Third Proportional to 65,100 and 95,181

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Solution

The third proportional to 65,100 and 95,181 is: 139,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100 : 95,181 = 95,181 : x
  2. Step 2: Convert to fraction form
    65,100/95,181 = 95,181/x
  3. Step 3: Cross multiply
    65,100x = 95,181 × 95,181
  4. Step 4: Simplify right side
    65,100x = 9,059,422,761
  5. Step 5: Solve for x
    x = 9,059,422,761/65,100
  6. Step 6: Final answer
    x = 139,161.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.