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Finding the Third Proportional to 89,186 and 118,894

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Solution

The third proportional to 89,186 and 118,894 is: 158,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,186 : 118,894 = 118,894 : x
  2. Step 2: Convert to fraction form
    89,186/118,894 = 118,894/x
  3. Step 3: Cross multiply
    89,186x = 118,894 × 118,894
  4. Step 4: Simplify right side
    89,186x = 14,135,783,236
  5. Step 5: Solve for x
    x = 14,135,783,236/89,186
  6. Step 6: Final answer
    x = 158,497.78

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Why These Related Problems?

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