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Finding the Third Proportional to 77,959 and 171,261

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Solution

The third proportional to 77,959 and 171,261 is: 376,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,959 : 171,261 = 171,261 : x
  2. Step 2: Convert to fraction form
    77,959/171,261 = 171,261/x
  3. Step 3: Cross multiply
    77,959x = 171,261 × 171,261
  4. Step 4: Simplify right side
    77,959x = 29,330,330,121
  5. Step 5: Solve for x
    x = 29,330,330,121/77,959
  6. Step 6: Final answer
    x = 376,227.63

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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.