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Finding the Third Proportional to 59,954 and 90,086

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Solution

The third proportional to 59,954 and 90,086 is: 135,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,954 : 90,086 = 90,086 : x
  2. Step 2: Convert to fraction form
    59,954/90,086 = 90,086/x
  3. Step 3: Cross multiply
    59,954x = 90,086 × 90,086
  4. Step 4: Simplify right side
    59,954x = 8,115,487,396
  5. Step 5: Solve for x
    x = 8,115,487,396/59,954
  6. Step 6: Final answer
    x = 135,361.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.