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Finding the Third Proportional to 76,932 and 157,698

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Solution

The third proportional to 76,932 and 157,698 is: 323,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 157,698 = 157,698 : x
  2. Step 2: Convert to fraction form
    76,932/157,698 = 157,698/x
  3. Step 3: Cross multiply
    76,932x = 157,698 × 157,698
  4. Step 4: Simplify right side
    76,932x = 24,868,659,204
  5. Step 5: Solve for x
    x = 24,868,659,204/76,932
  6. Step 6: Final answer
    x = 323,255.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.