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Finding the Third Proportional to 54,524 and 73,272

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Solution

The third proportional to 54,524 and 73,272 is: 98,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524 : 73,272 = 73,272 : x
  2. Step 2: Convert to fraction form
    54,524/73,272 = 73,272/x
  3. Step 3: Cross multiply
    54,524x = 73,272 × 73,272
  4. Step 4: Simplify right side
    54,524x = 5,368,785,984
  5. Step 5: Solve for x
    x = 5,368,785,984/54,524
  6. Step 6: Final answer
    x = 98,466.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.