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Finding the Third Proportional to 70,846 and 110,573

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Solution

The third proportional to 70,846 and 110,573 is: 172,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,846 : 110,573 = 110,573 : x
  2. Step 2: Convert to fraction form
    70,846/110,573 = 110,573/x
  3. Step 3: Cross multiply
    70,846x = 110,573 × 110,573
  4. Step 4: Simplify right side
    70,846x = 12,226,388,329
  5. Step 5: Solve for x
    x = 12,226,388,329/70,846
  6. Step 6: Final answer
    x = 172,576.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.