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Finding the Third Proportional to 104,008 and 147,162

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Solution

The third proportional to 104,008 and 147,162 is: 208,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,008 : 147,162 = 147,162 : x
  2. Step 2: Convert to fraction form
    104,008/147,162 = 147,162/x
  3. Step 3: Cross multiply
    104,008x = 147,162 × 147,162
  4. Step 4: Simplify right side
    104,008x = 21,656,654,244
  5. Step 5: Solve for x
    x = 21,656,654,244/104,008
  6. Step 6: Final answer
    x = 208,221.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.