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Finding the Third Proportional to 54,605.25 and 82,293.75

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Solution

The third proportional to 54,605.25 and 82,293.75 is: 124,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,605.25 : 82,293.75 = 82,293.75 : x
  2. Step 2: Convert to fraction form
    54,605.25/82,293.75 = 82,293.75/x
  3. Step 3: Cross multiply
    54,605.25x = 82,293.75 × 82,293.75
  4. Step 4: Simplify right side
    54,605.25x = 6,772,261,289.06
  5. Step 5: Solve for x
    x = 6,772,261,289.06/54,605.25
  6. Step 6: Final answer
    x = 124,022.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.