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Finding the Third Proportional to 117,674 and 179,590

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Solution

The third proportional to 117,674 and 179,590 is: 274,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,674 : 179,590 = 179,590 : x
  2. Step 2: Convert to fraction form
    117,674/179,590 = 179,590/x
  3. Step 3: Cross multiply
    117,674x = 179,590 × 179,590
  4. Step 4: Simplify right side
    117,674x = 32,252,568,100
  5. Step 5: Solve for x
    x = 32,252,568,100/117,674
  6. Step 6: Final answer
    x = 274,084.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.