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Finding the Third Proportional to 54,218.25 and 83,441.25

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Solution

The third proportional to 54,218.25 and 83,441.25 is: 128,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,218.25 : 83,441.25 = 83,441.25 : x
  2. Step 2: Convert to fraction form
    54,218.25/83,441.25 = 83,441.25/x
  3. Step 3: Cross multiply
    54,218.25x = 83,441.25 × 83,441.25
  4. Step 4: Simplify right side
    54,218.25x = 6,962,442,201.56
  5. Step 5: Solve for x
    x = 6,962,442,201.56/54,218.25
  6. Step 6: Final answer
    x = 128,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.