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Finding the Third Proportional to 54,581.34 and 81,534.94

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Solution

The third proportional to 54,581.34 and 81,534.94 is: 121,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,581.34 : 81,534.94 = 81,534.94 : x
  2. Step 2: Convert to fraction form
    54,581.34/81,534.94 = 81,534.94/x
  3. Step 3: Cross multiply
    54,581.34x = 81,534.94 × 81,534.94
  4. Step 4: Simplify right side
    54,581.34x = 6,647,946,033.13
  5. Step 5: Solve for x
    x = 6,647,946,033.13/54,581.34
  6. Step 6: Final answer
    x = 121,798.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.