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Finding the Third Proportional to 104,832 and 139,667

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Solution

The third proportional to 104,832 and 139,667 is: 186,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,832 : 139,667 = 139,667 : x
  2. Step 2: Convert to fraction form
    104,832/139,667 = 139,667/x
  3. Step 3: Cross multiply
    104,832x = 139,667 × 139,667
  4. Step 4: Simplify right side
    104,832x = 19,506,870,889
  5. Step 5: Solve for x
    x = 19,506,870,889/104,832
  6. Step 6: Final answer
    x = 186,077.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.