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Finding the Third Proportional to 54,692 and 117,920

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Solution

The third proportional to 54,692 and 117,920 is: 254,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692 : 117,920 = 117,920 : x
  2. Step 2: Convert to fraction form
    54,692/117,920 = 117,920/x
  3. Step 3: Cross multiply
    54,692x = 117,920 × 117,920
  4. Step 4: Simplify right side
    54,692x = 13,905,126,400
  5. Step 5: Solve for x
    x = 13,905,126,400/54,692
  6. Step 6: Final answer
    x = 254,244.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.