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Finding the Third Proportional to 54,796.50 and 84,503.25

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Solution

The third proportional to 54,796.50 and 84,503.25 is: 130,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,796.50 : 84,503.25 = 84,503.25 : x
  2. Step 2: Convert to fraction form
    54,796.50/84,503.25 = 84,503.25/x
  3. Step 3: Cross multiply
    54,796.50x = 84,503.25 × 84,503.25
  4. Step 4: Simplify right side
    54,796.50x = 7,140,799,260.56
  5. Step 5: Solve for x
    x = 7,140,799,260.56/54,796.50
  6. Step 6: Final answer
    x = 130,314.88

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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.