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Finding the Third Proportional to 80,956 and 120,602

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Solution

The third proportional to 80,956 and 120,602 is: 179,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,956 : 120,602 = 120,602 : x
  2. Step 2: Convert to fraction form
    80,956/120,602 = 120,602/x
  3. Step 3: Cross multiply
    80,956x = 120,602 × 120,602
  4. Step 4: Simplify right side
    80,956x = 14,544,842,404
  5. Step 5: Solve for x
    x = 14,544,842,404/80,956
  6. Step 6: Final answer
    x = 179,663.55

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