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Finding the Third Proportional to 93,576.75 and 122,049

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Solution

The third proportional to 93,576.75 and 122,049 is: 159,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,576.75 : 122,049 = 122,049 : x
  2. Step 2: Convert to fraction form
    93,576.75/122,049 = 122,049/x
  3. Step 3: Cross multiply
    93,576.75x = 122,049 × 122,049
  4. Step 4: Simplify right side
    93,576.75x = 14,895,958,401
  5. Step 5: Solve for x
    x = 14,895,958,401/93,576.75
  6. Step 6: Final answer
    x = 159,184.40

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.