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Finding the Third Proportional to 76,960 and 115,132

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Solution

The third proportional to 76,960 and 115,132 is: 172,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960 : 115,132 = 115,132 : x
  2. Step 2: Convert to fraction form
    76,960/115,132 = 115,132/x
  3. Step 3: Cross multiply
    76,960x = 115,132 × 115,132
  4. Step 4: Simplify right side
    76,960x = 13,255,377,424
  5. Step 5: Solve for x
    x = 13,255,377,424/76,960
  6. Step 6: Final answer
    x = 172,237.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.