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Finding the Third Proportional to 65,120 and 138,672

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Solution

The third proportional to 65,120 and 138,672 is: 295,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120 : 138,672 = 138,672 : x
  2. Step 2: Convert to fraction form
    65,120/138,672 = 138,672/x
  3. Step 3: Cross multiply
    65,120x = 138,672 × 138,672
  4. Step 4: Simplify right side
    65,120x = 19,229,923,584
  5. Step 5: Solve for x
    x = 19,229,923,584/65,120
  6. Step 6: Final answer
    x = 295,299.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.