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Finding the Third Proportional to 54,187.10 and 86,297.27

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Solution

The third proportional to 54,187.10 and 86,297.27 is: 137,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,187.10 : 86,297.27 = 86,297.27 : x
  2. Step 2: Convert to fraction form
    54,187.10/86,297.27 = 86,297.27/x
  3. Step 3: Cross multiply
    54,187.10x = 86,297.27 × 86,297.27
  4. Step 4: Simplify right side
    54,187.10x = 7,447,219,402.75
  5. Step 5: Solve for x
    x = 7,447,219,402.75/54,187.10
  6. Step 6: Final answer
    x = 137,435.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.