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Finding the Third Proportional to 75,008 and 164,027

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Solution

The third proportional to 75,008 and 164,027 is: 358,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 164,027 = 164,027 : x
  2. Step 2: Convert to fraction form
    75,008/164,027 = 164,027/x
  3. Step 3: Cross multiply
    75,008x = 164,027 × 164,027
  4. Step 4: Simplify right side
    75,008x = 26,904,856,729
  5. Step 5: Solve for x
    x = 26,904,856,729/75,008
  6. Step 6: Final answer
    x = 358,693.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.