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Finding the Third Proportional to 54,238.50 and 83,472.75

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Solution

The third proportional to 54,238.50 and 83,472.75 is: 128,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238.50 : 83,472.75 = 83,472.75 : x
  2. Step 2: Convert to fraction form
    54,238.50/83,472.75 = 83,472.75/x
  3. Step 3: Cross multiply
    54,238.50x = 83,472.75 × 83,472.75
  4. Step 4: Simplify right side
    54,238.50x = 6,967,699,992.56
  5. Step 5: Solve for x
    x = 6,967,699,992.56/54,238.50
  6. Step 6: Final answer
    x = 128,464.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.