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Finding the Third Proportional to 70,859 and 108,521

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Solution

The third proportional to 70,859 and 108,521 is: 166,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,859 : 108,521 = 108,521 : x
  2. Step 2: Convert to fraction form
    70,859/108,521 = 108,521/x
  3. Step 3: Cross multiply
    70,859x = 108,521 × 108,521
  4. Step 4: Simplify right side
    70,859x = 11,776,807,441
  5. Step 5: Solve for x
    x = 11,776,807,441/70,859
  6. Step 6: Final answer
    x = 166,200.59

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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.