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Finding the Third Proportional to 76,704 and 164,068

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Solution

The third proportional to 76,704 and 164,068 is: 350,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704 : 164,068 = 164,068 : x
  2. Step 2: Convert to fraction form
    76,704/164,068 = 164,068/x
  3. Step 3: Cross multiply
    76,704x = 164,068 × 164,068
  4. Step 4: Simplify right side
    76,704x = 26,918,308,624
  5. Step 5: Solve for x
    x = 26,918,308,624/76,704
  6. Step 6: Final answer
    x = 350,937.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.