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Finding the Third Proportional to 54,334.13 and 81,033.75

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Solution

The third proportional to 54,334.13 and 81,033.75 is: 120,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334.13 : 81,033.75 = 81,033.75 : x
  2. Step 2: Convert to fraction form
    54,334.13/81,033.75 = 81,033.75/x
  3. Step 3: Cross multiply
    54,334.13x = 81,033.75 × 81,033.75
  4. Step 4: Simplify right side
    54,334.13x = 6,566,468,639.06
  5. Step 5: Solve for x
    x = 6,566,468,639.06/54,334.13
  6. Step 6: Final answer
    x = 120,853.49

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1.5x scale

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.