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Finding the Third Proportional to 120,484.13 and 179,410.78

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Solution

The third proportional to 120,484.13 and 179,410.78 is: 267,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,484.13 : 179,410.78 = 179,410.78 : x
  2. Step 2: Convert to fraction form
    120,484.13/179,410.78 = 179,410.78/x
  3. Step 3: Cross multiply
    120,484.13x = 179,410.78 × 179,410.78
  4. Step 4: Simplify right side
    120,484.13x = 32,188,228,428.74
  5. Step 5: Solve for x
    x = 32,188,228,428.74/120,484.13
  6. Step 6: Final answer
    x = 267,157.42

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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.