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Finding the Third Proportional to 54,453.94 and 132,437.53

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Solution

The third proportional to 54,453.94 and 132,437.53 is: 322,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,453.94 : 132,437.53 = 132,437.53 : x
  2. Step 2: Convert to fraction form
    54,453.94/132,437.53 = 132,437.53/x
  3. Step 3: Cross multiply
    54,453.94x = 132,437.53 × 132,437.53
  4. Step 4: Simplify right side
    54,453.94x = 17,539,699,683.59
  5. Step 5: Solve for x
    x = 17,539,699,683.59/54,453.94
  6. Step 6: Final answer
    x = 322,101.59

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.