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Finding the Third Proportional to 67,944 and 102,942

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Solution

The third proportional to 67,944 and 102,942 is: 155,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,944 : 102,942 = 102,942 : x
  2. Step 2: Convert to fraction form
    67,944/102,942 = 102,942/x
  3. Step 3: Cross multiply
    67,944x = 102,942 × 102,942
  4. Step 4: Simplify right side
    67,944x = 10,597,055,364
  5. Step 5: Solve for x
    x = 10,597,055,364/67,944
  6. Step 6: Final answer
    x = 155,967.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.