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Finding the Third Proportional to 72,967 and 108,477

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Solution

The third proportional to 72,967 and 108,477 is: 161,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967 : 108,477 = 108,477 : x
  2. Step 2: Convert to fraction form
    72,967/108,477 = 108,477/x
  3. Step 3: Cross multiply
    72,967x = 108,477 × 108,477
  4. Step 4: Simplify right side
    72,967x = 11,767,259,529
  5. Step 5: Solve for x
    x = 11,767,259,529/72,967
  6. Step 6: Final answer
    x = 161,268.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.