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Finding the Third Proportional to 113,589 and 175,861.13

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Solution

The third proportional to 113,589 and 175,861.13 is: 272,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,589 : 175,861.13 = 175,861.13 : x
  2. Step 2: Convert to fraction form
    113,589/175,861.13 = 175,861.13/x
  3. Step 3: Cross multiply
    113,589x = 175,861.13 × 175,861.13
  4. Step 4: Simplify right side
    113,589x = 30,927,135,286.27
  5. Step 5: Solve for x
    x = 30,927,135,286.27/113,589
  6. Step 6: Final answer
    x = 272,272.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.