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Finding the Third Proportional to 67,738 and 102,958

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Solution

The third proportional to 67,738 and 102,958 is: 156,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,738 : 102,958 = 102,958 : x
  2. Step 2: Convert to fraction form
    67,738/102,958 = 102,958/x
  3. Step 3: Cross multiply
    67,738x = 102,958 × 102,958
  4. Step 4: Simplify right side
    67,738x = 10,600,349,764
  5. Step 5: Solve for x
    x = 10,600,349,764/67,738
  6. Step 6: Final answer
    x = 156,490.45

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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.