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Finding the Third Proportional to 57,384 and 85,104

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Solution

The third proportional to 57,384 and 85,104 is: 126,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384 : 85,104 = 85,104 : x
  2. Step 2: Convert to fraction form
    57,384/85,104 = 85,104/x
  3. Step 3: Cross multiply
    57,384x = 85,104 × 85,104
  4. Step 4: Simplify right side
    57,384x = 7,242,690,816
  5. Step 5: Solve for x
    x = 7,242,690,816/57,384
  6. Step 6: Final answer
    x = 126,214.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.