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Finding the Third Proportional to 65,997 and 159,498

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Solution

The third proportional to 65,997 and 159,498 is: 385,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,997 : 159,498 = 159,498 : x
  2. Step 2: Convert to fraction form
    65,997/159,498 = 159,498/x
  3. Step 3: Cross multiply
    65,997x = 159,498 × 159,498
  4. Step 4: Simplify right side
    65,997x = 25,439,612,004
  5. Step 5: Solve for x
    x = 25,439,612,004/65,997
  6. Step 6: Final answer
    x = 385,466.19

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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.