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Finding the Third Proportional to 70,856 and 108,516

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Solution

The third proportional to 70,856 and 108,516 is: 166,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,856 : 108,516 = 108,516 : x
  2. Step 2: Convert to fraction form
    70,856/108,516 = 108,516/x
  3. Step 3: Cross multiply
    70,856x = 108,516 × 108,516
  4. Step 4: Simplify right side
    70,856x = 11,775,722,256
  5. Step 5: Solve for x
    x = 11,775,722,256/70,856
  6. Step 6: Final answer
    x = 166,192.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.