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Finding the Third Proportional to 57,844 and 87,494

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Solution

The third proportional to 57,844 and 87,494 is: 132,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,844 : 87,494 = 87,494 : x
  2. Step 2: Convert to fraction form
    57,844/87,494 = 87,494/x
  3. Step 3: Cross multiply
    57,844x = 87,494 × 87,494
  4. Step 4: Simplify right side
    57,844x = 7,655,200,036
  5. Step 5: Solve for x
    x = 7,655,200,036/57,844
  6. Step 6: Final answer
    x = 132,342.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.