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Finding the Third Proportional to 54,331.13 and 83,111.25

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Solution

The third proportional to 54,331.13 and 83,111.25 is: 127,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,331.13 : 83,111.25 = 83,111.25 : x
  2. Step 2: Convert to fraction form
    54,331.13/83,111.25 = 83,111.25/x
  3. Step 3: Cross multiply
    54,331.13x = 83,111.25 × 83,111.25
  4. Step 4: Simplify right side
    54,331.13x = 6,907,479,876.56
  5. Step 5: Solve for x
    x = 6,907,479,876.56/54,331.13
  6. Step 6: Final answer
    x = 127,136.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.