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Finding the Third Proportional to 89,044 and 207,058

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Solution

The third proportional to 89,044 and 207,058 is: 481,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,044 : 207,058 = 207,058 : x
  2. Step 2: Convert to fraction form
    89,044/207,058 = 207,058/x
  3. Step 3: Cross multiply
    89,044x = 207,058 × 207,058
  4. Step 4: Simplify right side
    89,044x = 42,873,015,364
  5. Step 5: Solve for x
    x = 42,873,015,364/89,044
  6. Step 6: Final answer
    x = 481,481.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.