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Finding the Third Proportional to 67,066 and 100,607

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Solution

The third proportional to 67,066 and 100,607 is: 150,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,066 : 100,607 = 100,607 : x
  2. Step 2: Convert to fraction form
    67,066/100,607 = 100,607/x
  3. Step 3: Cross multiply
    67,066x = 100,607 × 100,607
  4. Step 4: Simplify right side
    67,066x = 10,121,768,449
  5. Step 5: Solve for x
    x = 10,121,768,449/67,066
  6. Step 6: Final answer
    x = 150,922.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.