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Finding the Third Proportional to 117,560 and 179,103

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Solution

The third proportional to 117,560 and 179,103 is: 272,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,560 : 179,103 = 179,103 : x
  2. Step 2: Convert to fraction form
    117,560/179,103 = 179,103/x
  3. Step 3: Cross multiply
    117,560x = 179,103 × 179,103
  4. Step 4: Simplify right side
    117,560x = 32,077,884,609
  5. Step 5: Solve for x
    x = 32,077,884,609/117,560
  6. Step 6: Final answer
    x = 272,863.94

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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.