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Finding the Third Proportional to 117,018 and 181,107

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Solution

The third proportional to 117,018 and 181,107 is: 280,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,018 : 181,107 = 181,107 : x
  2. Step 2: Convert to fraction form
    117,018/181,107 = 181,107/x
  3. Step 3: Cross multiply
    117,018x = 181,107 × 181,107
  4. Step 4: Simplify right side
    117,018x = 32,799,745,449
  5. Step 5: Solve for x
    x = 32,799,745,449/117,018
  6. Step 6: Final answer
    x = 280,296.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.