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Finding the Third Proportional to 56,099.25 and 86,222.25

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Solution

The third proportional to 56,099.25 and 86,222.25 is: 132,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,099.25 : 86,222.25 = 86,222.25 : x
  2. Step 2: Convert to fraction form
    56,099.25/86,222.25 = 86,222.25/x
  3. Step 3: Cross multiply
    56,099.25x = 86,222.25 × 86,222.25
  4. Step 4: Simplify right side
    56,099.25x = 7,434,276,395.06
  5. Step 5: Solve for x
    x = 7,434,276,395.06/56,099.25
  6. Step 6: Final answer
    x = 132,520.07

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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.