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Finding the Third Proportional to 76,060 and 100,941

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Solution

The third proportional to 76,060 and 100,941 is: 133,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,060 : 100,941 = 100,941 : x
  2. Step 2: Convert to fraction form
    76,060/100,941 = 100,941/x
  3. Step 3: Cross multiply
    76,060x = 100,941 × 100,941
  4. Step 4: Simplify right side
    76,060x = 10,189,085,481
  5. Step 5: Solve for x
    x = 10,189,085,481/76,060
  6. Step 6: Final answer
    x = 133,961.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.