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Finding the Third Proportional to 56,097.56 and 86,221.13

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Solution

The third proportional to 56,097.56 and 86,221.13 is: 132,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,097.56 : 86,221.13 = 86,221.13 : x
  2. Step 2: Convert to fraction form
    56,097.56/86,221.13 = 86,221.13/x
  3. Step 3: Cross multiply
    56,097.56x = 86,221.13 × 86,221.13
  4. Step 4: Simplify right side
    56,097.56x = 7,434,082,396.27
  5. Step 5: Solve for x
    x = 7,434,082,396.27/56,097.56
  6. Step 6: Final answer
    x = 132,520.60

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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.