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Finding the Third Proportional to 54,904 and 74,562

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Solution

The third proportional to 54,904 and 74,562 is: 101,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,904 : 74,562 = 74,562 : x
  2. Step 2: Convert to fraction form
    54,904/74,562 = 74,562/x
  3. Step 3: Cross multiply
    54,904x = 74,562 × 74,562
  4. Step 4: Simplify right side
    54,904x = 5,559,491,844
  5. Step 5: Solve for x
    x = 5,559,491,844/54,904
  6. Step 6: Final answer
    x = 101,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.