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Finding the Third Proportional to 76,416 and 166,008

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Solution

The third proportional to 76,416 and 166,008 is: 360,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416 : 166,008 = 166,008 : x
  2. Step 2: Convert to fraction form
    76,416/166,008 = 166,008/x
  3. Step 3: Cross multiply
    76,416x = 166,008 × 166,008
  4. Step 4: Simplify right side
    76,416x = 27,558,656,064
  5. Step 5: Solve for x
    x = 27,558,656,064/76,416
  6. Step 6: Final answer
    x = 360,639.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.