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Finding the Third Proportional to 92,200 and 134,268

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Solution

The third proportional to 92,200 and 134,268 is: 195,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,200 : 134,268 = 134,268 : x
  2. Step 2: Convert to fraction form
    92,200/134,268 = 134,268/x
  3. Step 3: Cross multiply
    92,200x = 134,268 × 134,268
  4. Step 4: Simplify right side
    92,200x = 18,027,895,824
  5. Step 5: Solve for x
    x = 18,027,895,824/92,200
  6. Step 6: Final answer
    x = 195,530.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.