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Finding the Third Proportional to 137,932 and 179,630

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Solution

The third proportional to 137,932 and 179,630 is: 233,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,932 : 179,630 = 179,630 : x
  2. Step 2: Convert to fraction form
    137,932/179,630 = 179,630/x
  3. Step 3: Cross multiply
    137,932x = 179,630 × 179,630
  4. Step 4: Simplify right side
    137,932x = 32,266,936,900
  5. Step 5: Solve for x
    x = 32,266,936,900/137,932
  6. Step 6: Final answer
    x = 233,933.65

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.