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Finding the Third Proportional to 117,531 and 179,052

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Solution

The third proportional to 117,531 and 179,052 is: 272,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531 : 179,052 = 179,052 : x
  2. Step 2: Convert to fraction form
    117,531/179,052 = 179,052/x
  3. Step 3: Cross multiply
    117,531x = 179,052 × 179,052
  4. Step 4: Simplify right side
    117,531x = 32,059,618,704
  5. Step 5: Solve for x
    x = 32,059,618,704/117,531
  6. Step 6: Final answer
    x = 272,775.85

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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.