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Finding the Third Proportional to 53,572.50 and 86,028.75

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Solution

The third proportional to 53,572.50 and 86,028.75 is: 138,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,572.50 : 86,028.75 = 86,028.75 : x
  2. Step 2: Convert to fraction form
    53,572.50/86,028.75 = 86,028.75/x
  3. Step 3: Cross multiply
    53,572.50x = 86,028.75 × 86,028.75
  4. Step 4: Simplify right side
    53,572.50x = 7,400,945,826.56
  5. Step 5: Solve for x
    x = 7,400,945,826.56/53,572.50
  6. Step 6: Final answer
    x = 138,148.23

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.