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Finding the Third Proportional to 77,866 and 120,302

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Solution

The third proportional to 77,866 and 120,302 is: 185,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866 : 120,302 = 120,302 : x
  2. Step 2: Convert to fraction form
    77,866/120,302 = 120,302/x
  3. Step 3: Cross multiply
    77,866x = 120,302 × 120,302
  4. Step 4: Simplify right side
    77,866x = 14,472,571,204
  5. Step 5: Solve for x
    x = 14,472,571,204/77,866
  6. Step 6: Final answer
    x = 185,865.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.