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Finding the Third Proportional to 76,680 and 165,672

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Solution

The third proportional to 76,680 and 165,672 is: 357,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680 : 165,672 = 165,672 : x
  2. Step 2: Convert to fraction form
    76,680/165,672 = 165,672/x
  3. Step 3: Cross multiply
    76,680x = 165,672 × 165,672
  4. Step 4: Simplify right side
    76,680x = 27,447,211,584
  5. Step 5: Solve for x
    x = 27,447,211,584/76,680
  6. Step 6: Final answer
    x = 357,944.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.