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Finding the Third Proportional to 117,706 and 179,279

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Solution

The third proportional to 117,706 and 179,279 is: 273,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706 : 179,279 = 179,279 : x
  2. Step 2: Convert to fraction form
    117,706/179,279 = 179,279/x
  3. Step 3: Cross multiply
    117,706x = 179,279 × 179,279
  4. Step 4: Simplify right side
    117,706x = 32,140,959,841
  5. Step 5: Solve for x
    x = 32,140,959,841/117,706
  6. Step 6: Final answer
    x = 273,061.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.