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Finding the Third Proportional to 54,969.75 and 84,232.13

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Solution

The third proportional to 54,969.75 and 84,232.13 is: 129,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.75 : 84,232.13 = 84,232.13 : x
  2. Step 2: Convert to fraction form
    54,969.75/84,232.13 = 84,232.13/x
  3. Step 3: Cross multiply
    54,969.75x = 84,232.13 × 84,232.13
  4. Step 4: Simplify right side
    54,969.75x = 7,095,050,882.02
  5. Step 5: Solve for x
    x = 7,095,050,882.02/54,969.75
  6. Step 6: Final answer
    x = 129,071.91

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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.