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Finding the Third Proportional to 54,427.50 and 82,462.50

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Solution

The third proportional to 54,427.50 and 82,462.50 is: 124,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,427.50 : 82,462.50 = 82,462.50 : x
  2. Step 2: Convert to fraction form
    54,427.50/82,462.50 = 82,462.50/x
  3. Step 3: Cross multiply
    54,427.50x = 82,462.50 × 82,462.50
  4. Step 4: Simplify right side
    54,427.50x = 6,800,063,906.25
  5. Step 5: Solve for x
    x = 6,800,063,906.25/54,427.50
  6. Step 6: Final answer
    x = 124,938.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.