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Finding the Third Proportional to 77,625 and 120,231

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Solution

The third proportional to 77,625 and 120,231 is: 186,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,625 : 120,231 = 120,231 : x
  2. Step 2: Convert to fraction form
    77,625/120,231 = 120,231/x
  3. Step 3: Cross multiply
    77,625x = 120,231 × 120,231
  4. Step 4: Simplify right side
    77,625x = 14,455,493,361
  5. Step 5: Solve for x
    x = 14,455,493,361/77,625
  6. Step 6: Final answer
    x = 186,222.14

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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.