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Finding the Third Proportional to 57,238.88 and 84,202.88

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Solution

The third proportional to 57,238.88 and 84,202.88 is: 123,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,238.88 : 84,202.88 = 84,202.88 : x
  2. Step 2: Convert to fraction form
    57,238.88/84,202.88 = 84,202.88/x
  3. Step 3: Cross multiply
    57,238.88x = 84,202.88 × 84,202.88
  4. Step 4: Simplify right side
    57,238.88x = 7,090,124,158.27
  5. Step 5: Solve for x
    x = 7,090,124,158.27/57,238.88
  6. Step 6: Final answer
    x = 123,869.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.