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Finding the Third Proportional to 89,233 and 118,965

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Solution

The third proportional to 89,233 and 118,965 is: 158,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,233 : 118,965 = 118,965 : x
  2. Step 2: Convert to fraction form
    89,233/118,965 = 118,965/x
  3. Step 3: Cross multiply
    89,233x = 118,965 × 118,965
  4. Step 4: Simplify right side
    89,233x = 14,152,671,225
  5. Step 5: Solve for x
    x = 14,152,671,225/89,233
  6. Step 6: Final answer
    x = 158,603.56

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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.