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Finding the Third Proportional to 79,276 and 115,350

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Solution

The third proportional to 79,276 and 115,350 is: 167,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,276 : 115,350 = 115,350 : x
  2. Step 2: Convert to fraction form
    79,276/115,350 = 115,350/x
  3. Step 3: Cross multiply
    79,276x = 115,350 × 115,350
  4. Step 4: Simplify right side
    79,276x = 13,305,622,500
  5. Step 5: Solve for x
    x = 13,305,622,500/79,276
  6. Step 6: Final answer
    x = 167,839.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.