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Finding the Third Proportional to 80,076 and 119,682

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Solution

The third proportional to 80,076 and 119,682 is: 178,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,076 : 119,682 = 119,682 : x
  2. Step 2: Convert to fraction form
    80,076/119,682 = 119,682/x
  3. Step 3: Cross multiply
    80,076x = 119,682 × 119,682
  4. Step 4: Simplify right side
    80,076x = 14,323,781,124
  5. Step 5: Solve for x
    x = 14,323,781,124/80,076
  6. Step 6: Final answer
    x = 178,877.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.