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Finding the Third Proportional to 57,759 and 72,301.13

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Solution

The third proportional to 57,759 and 72,301.13 is: 90,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,759 : 72,301.13 = 72,301.13 : x
  2. Step 2: Convert to fraction form
    57,759/72,301.13 = 72,301.13/x
  3. Step 3: Cross multiply
    57,759x = 72,301.13 × 72,301.13
  4. Step 4: Simplify right side
    57,759x = 5,227,452,676.27
  5. Step 5: Solve for x
    x = 5,227,452,676.27/57,759
  6. Step 6: Final answer
    x = 90,504.56

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.