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Finding the Third Proportional to 93,666 and 166,542

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Solution

The third proportional to 93,666 and 166,542 is: 296,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,666 : 166,542 = 166,542 : x
  2. Step 2: Convert to fraction form
    93,666/166,542 = 166,542/x
  3. Step 3: Cross multiply
    93,666x = 166,542 × 166,542
  4. Step 4: Simplify right side
    93,666x = 27,736,237,764
  5. Step 5: Solve for x
    x = 27,736,237,764/93,666
  6. Step 6: Final answer
    x = 296,118.53

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.