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Finding the Third Proportional to 58,898 and 90,993

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Solution

The third proportional to 58,898 and 90,993 is: 140,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,898 : 90,993 = 90,993 : x
  2. Step 2: Convert to fraction form
    58,898/90,993 = 90,993/x
  3. Step 3: Cross multiply
    58,898x = 90,993 × 90,993
  4. Step 4: Simplify right side
    58,898x = 8,279,726,049
  5. Step 5: Solve for x
    x = 8,279,726,049/58,898
  6. Step 6: Final answer
    x = 140,577.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.