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Finding the Third Proportional to 54,382 and 73,194

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Solution

The third proportional to 54,382 and 73,194 is: 98,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382 : 73,194 = 73,194 : x
  2. Step 2: Convert to fraction form
    54,382/73,194 = 73,194/x
  3. Step 3: Cross multiply
    54,382x = 73,194 × 73,194
  4. Step 4: Simplify right side
    54,382x = 5,357,361,636
  5. Step 5: Solve for x
    x = 5,357,361,636/54,382
  6. Step 6: Final answer
    x = 98,513.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.