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Finding the Third Proportional to 114,606 and 177,093

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Solution

The third proportional to 114,606 and 177,093 is: 273,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,606 : 177,093 = 177,093 : x
  2. Step 2: Convert to fraction form
    114,606/177,093 = 177,093/x
  3. Step 3: Cross multiply
    114,606x = 177,093 × 177,093
  4. Step 4: Simplify right side
    114,606x = 31,361,930,649
  5. Step 5: Solve for x
    x = 31,361,930,649/114,606
  6. Step 6: Final answer
    x = 273,649.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.