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Finding the Third Proportional to 76,126 and 108,199

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Solution

The third proportional to 76,126 and 108,199 is: 153,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,126 : 108,199 = 108,199 : x
  2. Step 2: Convert to fraction form
    76,126/108,199 = 108,199/x
  3. Step 3: Cross multiply
    76,126x = 108,199 × 108,199
  4. Step 4: Simplify right side
    76,126x = 11,707,023,601
  5. Step 5: Solve for x
    x = 11,707,023,601/76,126
  6. Step 6: Final answer
    x = 153,784.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.