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Finding the Third Proportional to 67,927 and 140,630

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Solution

The third proportional to 67,927 and 140,630 is: 291,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,927 : 140,630 = 140,630 : x
  2. Step 2: Convert to fraction form
    67,927/140,630 = 140,630/x
  3. Step 3: Cross multiply
    67,927x = 140,630 × 140,630
  4. Step 4: Simplify right side
    67,927x = 19,776,796,900
  5. Step 5: Solve for x
    x = 19,776,796,900/67,927
  6. Step 6: Final answer
    x = 291,147.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.