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Finding the Third Proportional to 70,027 and 108,611

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Solution

The third proportional to 70,027 and 108,611 is: 168,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,027 : 108,611 = 108,611 : x
  2. Step 2: Convert to fraction form
    70,027/108,611 = 108,611/x
  3. Step 3: Cross multiply
    70,027x = 108,611 × 108,611
  4. Step 4: Simplify right side
    70,027x = 11,796,349,321
  5. Step 5: Solve for x
    x = 11,796,349,321/70,027
  6. Step 6: Final answer
    x = 168,454.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.