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Finding the Third Proportional to 104,008 and 166,596

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Solution

The third proportional to 104,008 and 166,596 is: 266,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,008 : 166,596 = 166,596 : x
  2. Step 2: Convert to fraction form
    104,008/166,596 = 166,596/x
  3. Step 3: Cross multiply
    104,008x = 166,596 × 166,596
  4. Step 4: Simplify right side
    104,008x = 27,754,227,216
  5. Step 5: Solve for x
    x = 27,754,227,216/104,008
  6. Step 6: Final answer
    x = 266,847.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.