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Finding the Third Proportional to 45,463 and 72,974

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Solution

The third proportional to 45,463 and 72,974 is: 117,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463 : 72,974 = 72,974 : x
  2. Step 2: Convert to fraction form
    45,463/72,974 = 72,974/x
  3. Step 3: Cross multiply
    45,463x = 72,974 × 72,974
  4. Step 4: Simplify right side
    45,463x = 5,325,204,676
  5. Step 5: Solve for x
    x = 5,325,204,676/45,463
  6. Step 6: Final answer
    x = 117,132.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.