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Finding the Third Proportional to 54,744 and 76,272

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Solution

The third proportional to 54,744 and 76,272 is: 106,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744 : 76,272 = 76,272 : x
  2. Step 2: Convert to fraction form
    54,744/76,272 = 76,272/x
  3. Step 3: Cross multiply
    54,744x = 76,272 × 76,272
  4. Step 4: Simplify right side
    54,744x = 5,817,417,984
  5. Step 5: Solve for x
    x = 5,817,417,984/54,744
  6. Step 6: Final answer
    x = 106,265.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.