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Finding the Third Proportional to 89,192 and 118,966

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Solution

The third proportional to 89,192 and 118,966 is: 158,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,192 : 118,966 = 118,966 : x
  2. Step 2: Convert to fraction form
    89,192/118,966 = 118,966/x
  3. Step 3: Cross multiply
    89,192x = 118,966 × 118,966
  4. Step 4: Simplify right side
    89,192x = 14,152,909,156
  5. Step 5: Solve for x
    x = 14,152,909,156/89,192
  6. Step 6: Final answer
    x = 158,679.13

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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.