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Finding the Third Proportional to 54,633.94 and 84,376.69

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Solution

The third proportional to 54,633.94 and 84,376.69 is: 130,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,633.94 : 84,376.69 = 84,376.69 : x
  2. Step 2: Convert to fraction form
    54,633.94/84,376.69 = 84,376.69/x
  3. Step 3: Cross multiply
    54,633.94x = 84,376.69 × 84,376.69
  4. Step 4: Simplify right side
    54,633.94x = 7,119,425,393.47
  5. Step 5: Solve for x
    x = 7,119,425,393.47/54,633.94
  6. Step 6: Final answer
    x = 130,311.41

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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.