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Finding the Third Proportional to 65,976 and 155,588

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Solution

The third proportional to 65,976 and 155,588 is: 366,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976 : 155,588 = 155,588 : x
  2. Step 2: Convert to fraction form
    65,976/155,588 = 155,588/x
  3. Step 3: Cross multiply
    65,976x = 155,588 × 155,588
  4. Step 4: Simplify right side
    65,976x = 24,207,625,744
  5. Step 5: Solve for x
    x = 24,207,625,744/65,976
  6. Step 6: Final answer
    x = 366,915.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.