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Finding the Third Proportional to 104,558.34 and 166,181.63

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Solution

The third proportional to 104,558.34 and 166,181.63 is: 264,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,558.34 : 166,181.63 = 166,181.63 : x
  2. Step 2: Convert to fraction form
    104,558.34/166,181.63 = 166,181.63/x
  3. Step 3: Cross multiply
    104,558.34x = 166,181.63 × 166,181.63
  4. Step 4: Simplify right side
    104,558.34x = 27,616,332,487.64
  5. Step 5: Solve for x
    x = 27,616,332,487.64/104,558.34
  6. Step 6: Final answer
    x = 264,123.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.