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Finding the Third Proportional to 70,494 and 102,927

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Solution

The third proportional to 70,494 and 102,927 is: 150,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494 : 102,927 = 102,927 : x
  2. Step 2: Convert to fraction form
    70,494/102,927 = 102,927/x
  3. Step 3: Cross multiply
    70,494x = 102,927 × 102,927
  4. Step 4: Simplify right side
    70,494x = 10,593,967,329
  5. Step 5: Solve for x
    x = 10,593,967,329/70,494
  6. Step 6: Final answer
    x = 150,281.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.