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Finding the Third Proportional to 57,845.39 and 89,389.83

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Solution

The third proportional to 57,845.39 and 89,389.83 is: 138,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,845.39 : 89,389.83 = 89,389.83 : x
  2. Step 2: Convert to fraction form
    57,845.39/89,389.83 = 89,389.83/x
  3. Step 3: Cross multiply
    57,845.39x = 89,389.83 × 89,389.83
  4. Step 4: Simplify right side
    57,845.39x = 7,990,541,372.22
  5. Step 5: Solve for x
    x = 7,990,541,372.22/57,845.39
  6. Step 6: Final answer
    x = 138,136.18

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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.