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Finding the Third Proportional to 54,266.25 and 83,859.75

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Solution

The third proportional to 54,266.25 and 83,859.75 is: 129,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,266.25 : 83,859.75 = 83,859.75 : x
  2. Step 2: Convert to fraction form
    54,266.25/83,859.75 = 83,859.75/x
  3. Step 3: Cross multiply
    54,266.25x = 83,859.75 × 83,859.75
  4. Step 4: Simplify right side
    54,266.25x = 7,032,457,670.06
  5. Step 5: Solve for x
    x = 7,032,457,670.06/54,266.25
  6. Step 6: Final answer
    x = 129,591.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.