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Finding the Third Proportional to 67,392 and 101,967

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Solution

The third proportional to 67,392 and 101,967 is: 154,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,392 : 101,967 = 101,967 : x
  2. Step 2: Convert to fraction form
    67,392/101,967 = 101,967/x
  3. Step 3: Cross multiply
    67,392x = 101,967 × 101,967
  4. Step 4: Simplify right side
    67,392x = 10,397,269,089
  5. Step 5: Solve for x
    x = 10,397,269,089/67,392
  6. Step 6: Final answer
    x = 154,280.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.