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Finding the Third Proportional to 59,143.50 and 85,014.75

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Solution

The third proportional to 59,143.50 and 85,014.75 is: 122,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,143.50 : 85,014.75 = 85,014.75 : x
  2. Step 2: Convert to fraction form
    59,143.50/85,014.75 = 85,014.75/x
  3. Step 3: Cross multiply
    59,143.50x = 85,014.75 × 85,014.75
  4. Step 4: Simplify right side
    59,143.50x = 7,227,507,717.56
  5. Step 5: Solve for x
    x = 7,227,507,717.56/59,143.50
  6. Step 6: Final answer
    x = 122,202.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.