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Finding the Third Proportional to 89,044 and 193,544

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Solution

The third proportional to 89,044 and 193,544 is: 420,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,044 : 193,544 = 193,544 : x
  2. Step 2: Convert to fraction form
    89,044/193,544 = 193,544/x
  3. Step 3: Cross multiply
    89,044x = 193,544 × 193,544
  4. Step 4: Simplify right side
    89,044x = 37,459,279,936
  5. Step 5: Solve for x
    x = 37,459,279,936/89,044
  6. Step 6: Final answer
    x = 420,682.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.