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Finding the Third Proportional to 54,693 and 75,357

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Solution

The third proportional to 54,693 and 75,357 is: 103,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693 : 75,357 = 75,357 : x
  2. Step 2: Convert to fraction form
    54,693/75,357 = 75,357/x
  3. Step 3: Cross multiply
    54,693x = 75,357 × 75,357
  4. Step 4: Simplify right side
    54,693x = 5,678,677,449
  5. Step 5: Solve for x
    x = 5,678,677,449/54,693
  6. Step 6: Final answer
    x = 103,828.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.