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Finding the Third Proportional to 54,722 and 82,473

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Solution

The third proportional to 54,722 and 82,473 is: 124,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,722 : 82,473 = 82,473 : x
  2. Step 2: Convert to fraction form
    54,722/82,473 = 82,473/x
  3. Step 3: Cross multiply
    54,722x = 82,473 × 82,473
  4. Step 4: Simplify right side
    54,722x = 6,801,795,729
  5. Step 5: Solve for x
    x = 6,801,795,729/54,722
  6. Step 6: Final answer
    x = 124,297.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.