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Finding the Third Proportional to 117,539 and 176,311

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Solution

The third proportional to 117,539 and 176,311 is: 264,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,539 : 176,311 = 176,311 : x
  2. Step 2: Convert to fraction form
    117,539/176,311 = 176,311/x
  3. Step 3: Cross multiply
    117,539x = 176,311 × 176,311
  4. Step 4: Simplify right side
    117,539x = 31,085,568,721
  5. Step 5: Solve for x
    x = 31,085,568,721/117,539
  6. Step 6: Final answer
    x = 264,470.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.