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Finding the Third Proportional to 117,714 and 179,291

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Solution

The third proportional to 117,714 and 179,291 is: 273,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714 : 179,291 = 179,291 : x
  2. Step 2: Convert to fraction form
    117,714/179,291 = 179,291/x
  3. Step 3: Cross multiply
    117,714x = 179,291 × 179,291
  4. Step 4: Simplify right side
    117,714x = 32,145,262,681
  5. Step 5: Solve for x
    x = 32,145,262,681/117,714
  6. Step 6: Final answer
    x = 273,079.35

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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.