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Finding the Third Proportional to 53,901 and 81,600.75

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Solution

The third proportional to 53,901 and 81,600.75 is: 123,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,901 : 81,600.75 = 81,600.75 : x
  2. Step 2: Convert to fraction form
    53,901/81,600.75 = 81,600.75/x
  3. Step 3: Cross multiply
    53,901x = 81,600.75 × 81,600.75
  4. Step 4: Simplify right side
    53,901x = 6,658,682,400.56
  5. Step 5: Solve for x
    x = 6,658,682,400.56/53,901
  6. Step 6: Final answer
    x = 123,535.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.