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Finding the Third Proportional to 76,361 and 157,960

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Solution

The third proportional to 76,361 and 157,960 is: 326,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361 : 157,960 = 157,960 : x
  2. Step 2: Convert to fraction form
    76,361/157,960 = 157,960/x
  3. Step 3: Cross multiply
    76,361x = 157,960 × 157,960
  4. Step 4: Simplify right side
    76,361x = 24,951,361,600
  5. Step 5: Solve for x
    x = 24,951,361,600/76,361
  6. Step 6: Final answer
    x = 326,755.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.