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Finding the Third Proportional to 92,647 and 180,686

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Solution

The third proportional to 92,647 and 180,686 is: 352,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,647 : 180,686 = 180,686 : x
  2. Step 2: Convert to fraction form
    92,647/180,686 = 180,686/x
  3. Step 3: Cross multiply
    92,647x = 180,686 × 180,686
  4. Step 4: Simplify right side
    92,647x = 32,647,430,596
  5. Step 5: Solve for x
    x = 32,647,430,596/92,647
  6. Step 6: Final answer
    x = 352,385.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.