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Finding the Third Proportional to 64,268 and 100,505

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Solution

The third proportional to 64,268 and 100,505 is: 157,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,268 : 100,505 = 100,505 : x
  2. Step 2: Convert to fraction form
    64,268/100,505 = 100,505/x
  3. Step 3: Cross multiply
    64,268x = 100,505 × 100,505
  4. Step 4: Simplify right side
    64,268x = 10,101,255,025
  5. Step 5: Solve for x
    x = 10,101,255,025/64,268
  6. Step 6: Final answer
    x = 157,173.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.