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Finding the Third Proportional to 41,760 and 87,894

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Solution

The third proportional to 41,760 and 87,894 is: 184,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760 : 87,894 = 87,894 : x
  2. Step 2: Convert to fraction form
    41,760/87,894 = 87,894/x
  3. Step 3: Cross multiply
    41,760x = 87,894 × 87,894
  4. Step 4: Simplify right side
    41,760x = 7,725,355,236
  5. Step 5: Solve for x
    x = 7,725,355,236/41,760
  6. Step 6: Final answer
    x = 184,994.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.