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Finding the Third Proportional to 56,216.50 and 84,020.75

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Solution

The third proportional to 56,216.50 and 84,020.75 is: 125,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,216.50 : 84,020.75 = 84,020.75 : x
  2. Step 2: Convert to fraction form
    56,216.50/84,020.75 = 84,020.75/x
  3. Step 3: Cross multiply
    56,216.50x = 84,020.75 × 84,020.75
  4. Step 4: Simplify right side
    56,216.50x = 7,059,486,430.56
  5. Step 5: Solve for x
    x = 7,059,486,430.56/56,216.50
  6. Step 6: Final answer
    x = 125,576.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.