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Finding the Third Proportional to 45,589 and 71,153

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Solution

The third proportional to 45,589 and 71,153 is: 111,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,589 : 71,153 = 71,153 : x
  2. Step 2: Convert to fraction form
    45,589/71,153 = 71,153/x
  3. Step 3: Cross multiply
    45,589x = 71,153 × 71,153
  4. Step 4: Simplify right side
    45,589x = 5,062,749,409
  5. Step 5: Solve for x
    x = 5,062,749,409/45,589
  6. Step 6: Final answer
    x = 111,052.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.