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Finding the Third Proportional to 54,656 and 81,984

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Solution

The third proportional to 54,656 and 81,984 is: 122,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656 : 81,984 = 81,984 : x
  2. Step 2: Convert to fraction form
    54,656/81,984 = 81,984/x
  3. Step 3: Cross multiply
    54,656x = 81,984 × 81,984
  4. Step 4: Simplify right side
    54,656x = 6,721,376,256
  5. Step 5: Solve for x
    x = 6,721,376,256/54,656
  6. Step 6: Final answer
    x = 122,976

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.