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Finding the Third Proportional to 77,963 and 171,269

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Solution

The third proportional to 77,963 and 171,269 is: 376,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963 : 171,269 = 171,269 : x
  2. Step 2: Convert to fraction form
    77,963/171,269 = 171,269/x
  3. Step 3: Cross multiply
    77,963x = 171,269 × 171,269
  4. Step 4: Simplify right side
    77,963x = 29,333,070,361
  5. Step 5: Solve for x
    x = 29,333,070,361/77,963
  6. Step 6: Final answer
    x = 376,243.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.