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Finding the Third Proportional to 92,268 and 117,900

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Solution

The third proportional to 92,268 and 117,900 is: 150,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,268 : 117,900 = 117,900 : x
  2. Step 2: Convert to fraction form
    92,268/117,900 = 117,900/x
  3. Step 3: Cross multiply
    92,268x = 117,900 × 117,900
  4. Step 4: Simplify right side
    92,268x = 13,900,410,000
  5. Step 5: Solve for x
    x = 13,900,410,000/92,268
  6. Step 6: Final answer
    x = 150,652.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.