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Finding the Third Proportional to 53,224.59 and 82,399.78

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Solution

The third proportional to 53,224.59 and 82,399.78 is: 127,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,224.59 : 82,399.78 = 82,399.78 : x
  2. Step 2: Convert to fraction form
    53,224.59/82,399.78 = 82,399.78/x
  3. Step 3: Cross multiply
    53,224.59x = 82,399.78 × 82,399.78
  4. Step 4: Simplify right side
    53,224.59x = 6,789,723,950.05
  5. Step 5: Solve for x
    x = 6,789,723,950.05/53,224.59
  6. Step 6: Final answer
    x = 127,567.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.