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Finding the Third Proportional to 54,499 and 73,973

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Solution

The third proportional to 54,499 and 73,973 is: 100,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499 : 73,973 = 73,973 : x
  2. Step 2: Convert to fraction form
    54,499/73,973 = 73,973/x
  3. Step 3: Cross multiply
    54,499x = 73,973 × 73,973
  4. Step 4: Simplify right side
    54,499x = 5,472,004,729
  5. Step 5: Solve for x
    x = 5,472,004,729/54,499
  6. Step 6: Final answer
    x = 100,405.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.