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Finding the Third Proportional to 54,656 and 117,922

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Solution

The third proportional to 54,656 and 117,922 is: 254,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656 : 117,922 = 117,922 : x
  2. Step 2: Convert to fraction form
    54,656/117,922 = 117,922/x
  3. Step 3: Cross multiply
    54,656x = 117,922 × 117,922
  4. Step 4: Simplify right side
    54,656x = 13,905,598,084
  5. Step 5: Solve for x
    x = 13,905,598,084/54,656
  6. Step 6: Final answer
    x = 254,420.34

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