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Finding the Third Proportional to 70,728 and 92,958

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Solution

The third proportional to 70,728 and 92,958 is: 122,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,728 : 92,958 = 92,958 : x
  2. Step 2: Convert to fraction form
    70,728/92,958 = 92,958/x
  3. Step 3: Cross multiply
    70,728x = 92,958 × 92,958
  4. Step 4: Simplify right side
    70,728x = 8,641,189,764
  5. Step 5: Solve for x
    x = 8,641,189,764/70,728
  6. Step 6: Final answer
    x = 122,174.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.