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Finding the Third Proportional to 54,650.81 and 82,026.94

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Solution

The third proportional to 54,650.81 and 82,026.94 is: 123,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650.81 : 82,026.94 = 82,026.94 : x
  2. Step 2: Convert to fraction form
    54,650.81/82,026.94 = 82,026.94/x
  3. Step 3: Cross multiply
    54,650.81x = 82,026.94 × 82,026.94
  4. Step 4: Simplify right side
    54,650.81x = 6,728,418,475.63
  5. Step 5: Solve for x
    x = 6,728,418,475.63/54,650.81
  6. Step 6: Final answer
    x = 123,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.