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Finding the Third Proportional to 71,048 and 156,917

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Solution

The third proportional to 71,048 and 156,917 is: 346,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048 : 156,917 = 156,917 : x
  2. Step 2: Convert to fraction form
    71,048/156,917 = 156,917/x
  3. Step 3: Cross multiply
    71,048x = 156,917 × 156,917
  4. Step 4: Simplify right side
    71,048x = 24,622,944,889
  5. Step 5: Solve for x
    x = 24,622,944,889/71,048
  6. Step 6: Final answer
    x = 346,567.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.