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Finding the Third Proportional to 77,049 and 108,183

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Solution

The third proportional to 77,049 and 108,183 is: 151,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049 : 108,183 = 108,183 : x
  2. Step 2: Convert to fraction form
    77,049/108,183 = 108,183/x
  3. Step 3: Cross multiply
    77,049x = 108,183 × 108,183
  4. Step 4: Simplify right side
    77,049x = 11,703,561,489
  5. Step 5: Solve for x
    x = 11,703,561,489/77,049
  6. Step 6: Final answer
    x = 151,897.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.