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Finding the Third Proportional to 53,214.75 and 82,403.25

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Solution

The third proportional to 53,214.75 and 82,403.25 is: 127,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,214.75 : 82,403.25 = 82,403.25 : x
  2. Step 2: Convert to fraction form
    53,214.75/82,403.25 = 82,403.25/x
  3. Step 3: Cross multiply
    53,214.75x = 82,403.25 × 82,403.25
  4. Step 4: Simplify right side
    53,214.75x = 6,790,295,610.56
  5. Step 5: Solve for x
    x = 6,790,295,610.56/53,214.75
  6. Step 6: Final answer
    x = 127,601.76

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Why These Related Problems?

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