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Finding the Third Proportional to 54,462 and 81,693

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Solution

The third proportional to 54,462 and 81,693 is: 122,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462 : 81,693 = 81,693 : x
  2. Step 2: Convert to fraction form
    54,462/81,693 = 81,693/x
  3. Step 3: Cross multiply
    54,462x = 81,693 × 81,693
  4. Step 4: Simplify right side
    54,462x = 6,673,746,249
  5. Step 5: Solve for x
    x = 6,673,746,249/54,462
  6. Step 6: Final answer
    x = 122,539.50

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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.