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Finding the Third Proportional to 65,542 and 154,062

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Solution

The third proportional to 65,542 and 154,062 is: 362,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542 : 154,062 = 154,062 : x
  2. Step 2: Convert to fraction form
    65,542/154,062 = 154,062/x
  3. Step 3: Cross multiply
    65,542x = 154,062 × 154,062
  4. Step 4: Simplify right side
    65,542x = 23,735,099,844
  5. Step 5: Solve for x
    x = 23,735,099,844/65,542
  6. Step 6: Final answer
    x = 362,135.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.