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Finding the Third Proportional to 73,629 and 112,995

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Solution

The third proportional to 73,629 and 112,995 is: 173,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,629 : 112,995 = 112,995 : x
  2. Step 2: Convert to fraction form
    73,629/112,995 = 112,995/x
  3. Step 3: Cross multiply
    73,629x = 112,995 × 112,995
  4. Step 4: Simplify right side
    73,629x = 12,767,870,025
  5. Step 5: Solve for x
    x = 12,767,870,025/73,629
  6. Step 6: Final answer
    x = 173,408.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.