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Finding the Third Proportional to 74,063 and 120,329

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Solution

The third proportional to 74,063 and 120,329 is: 195,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,063 : 120,329 = 120,329 : x
  2. Step 2: Convert to fraction form
    74,063/120,329 = 120,329/x
  3. Step 3: Cross multiply
    74,063x = 120,329 × 120,329
  4. Step 4: Simplify right side
    74,063x = 14,479,068,241
  5. Step 5: Solve for x
    x = 14,479,068,241/74,063
  6. Step 6: Final answer
    x = 195,496.65

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.