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Finding the Third Proportional to 117,619 and 177,523

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Solution

The third proportional to 117,619 and 177,523 is: 267,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,619 : 177,523 = 177,523 : x
  2. Step 2: Convert to fraction form
    117,619/177,523 = 177,523/x
  3. Step 3: Cross multiply
    117,619x = 177,523 × 177,523
  4. Step 4: Simplify right side
    117,619x = 31,514,415,529
  5. Step 5: Solve for x
    x = 31,514,415,529/117,619
  6. Step 6: Final answer
    x = 267,936.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.