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Finding the Third Proportional to 70,898 and 108,831

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Solution

The third proportional to 70,898 and 108,831 is: 167,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898 : 108,831 = 108,831 : x
  2. Step 2: Convert to fraction form
    70,898/108,831 = 108,831/x
  3. Step 3: Cross multiply
    70,898x = 108,831 × 108,831
  4. Step 4: Simplify right side
    70,898x = 11,844,186,561
  5. Step 5: Solve for x
    x = 11,844,186,561/70,898
  6. Step 6: Final answer
    x = 167,059.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.