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Finding the Third Proportional to 92,710 and 188,690

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Solution

The third proportional to 92,710 and 188,690 is: 384,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,710 : 188,690 = 188,690 : x
  2. Step 2: Convert to fraction form
    92,710/188,690 = 188,690/x
  3. Step 3: Cross multiply
    92,710x = 188,690 × 188,690
  4. Step 4: Simplify right side
    92,710x = 35,603,916,100
  5. Step 5: Solve for x
    x = 35,603,916,100/92,710
  6. Step 6: Final answer
    x = 384,035.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.