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Finding the Third Proportional to 54,331.25 and 83,111.75

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Solution

The third proportional to 54,331.25 and 83,111.75 is: 127,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,331.25 : 83,111.75 = 83,111.75 : x
  2. Step 2: Convert to fraction form
    54,331.25/83,111.75 = 83,111.75/x
  3. Step 3: Cross multiply
    54,331.25x = 83,111.75 × 83,111.75
  4. Step 4: Simplify right side
    54,331.25x = 6,907,562,988.06
  5. Step 5: Solve for x
    x = 6,907,562,988.06/54,331.25
  6. Step 6: Final answer
    x = 127,137.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.