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Finding the Third Proportional to 42,844 and 95,623

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Solution

The third proportional to 42,844 and 95,623 is: 213,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844 : 95,623 = 95,623 : x
  2. Step 2: Convert to fraction form
    42,844/95,623 = 95,623/x
  3. Step 3: Cross multiply
    42,844x = 95,623 × 95,623
  4. Step 4: Simplify right side
    42,844x = 9,143,758,129
  5. Step 5: Solve for x
    x = 9,143,758,129/42,844
  6. Step 6: Final answer
    x = 213,419.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.