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Finding the Third Proportional to 68,827 and 152,393

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Solution

The third proportional to 68,827 and 152,393 is: 337,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827 : 152,393 = 152,393 : x
  2. Step 2: Convert to fraction form
    68,827/152,393 = 152,393/x
  3. Step 3: Cross multiply
    68,827x = 152,393 × 152,393
  4. Step 4: Simplify right side
    68,827x = 23,223,626,449
  5. Step 5: Solve for x
    x = 23,223,626,449/68,827
  6. Step 6: Final answer
    x = 337,420.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.