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Finding the Third Proportional to 120,167.72 and 184,401.56

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Solution

The third proportional to 120,167.72 and 184,401.56 is: 282,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,167.72 : 184,401.56 = 184,401.56 : x
  2. Step 2: Convert to fraction form
    120,167.72/184,401.56 = 184,401.56/x
  3. Step 3: Cross multiply
    120,167.72x = 184,401.56 × 184,401.56
  4. Step 4: Simplify right side
    120,167.72x = 34,003,936,252.44
  5. Step 5: Solve for x
    x = 34,003,936,252.44/120,167.72
  6. Step 6: Final answer
    x = 282,970.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.