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Finding the Third Proportional to 26,912 and 65,120

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Solution

The third proportional to 26,912 and 65,120 is: 157,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,912 : 65,120 = 65,120 : x
  2. Step 2: Convert to fraction form
    26,912/65,120 = 65,120/x
  3. Step 3: Cross multiply
    26,912x = 65,120 × 65,120
  4. Step 4: Simplify right side
    26,912x = 4,240,614,400
  5. Step 5: Solve for x
    x = 4,240,614,400/26,912
  6. Step 6: Final answer
    x = 157,573.37

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.