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Finding the Third Proportional to 117,674 and 177,599

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Solution

The third proportional to 117,674 and 177,599 is: 268,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,674 : 177,599 = 177,599 : x
  2. Step 2: Convert to fraction form
    117,674/177,599 = 177,599/x
  3. Step 3: Cross multiply
    117,674x = 177,599 × 177,599
  4. Step 4: Simplify right side
    117,674x = 31,541,404,801
  5. Step 5: Solve for x
    x = 31,541,404,801/117,674
  6. Step 6: Final answer
    x = 268,040.56

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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.