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Finding the Third Proportional to 56,139.75 and 86,555.25

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Solution

The third proportional to 56,139.75 and 86,555.25 is: 133,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,139.75 : 86,555.25 = 86,555.25 : x
  2. Step 2: Convert to fraction form
    56,139.75/86,555.25 = 86,555.25/x
  3. Step 3: Cross multiply
    56,139.75x = 86,555.25 × 86,555.25
  4. Step 4: Simplify right side
    56,139.75x = 7,491,811,302.56
  5. Step 5: Solve for x
    x = 7,491,811,302.56/56,139.75
  6. Step 6: Final answer
    x = 133,449.32

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