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Finding the Third Proportional to 70,482 and 103,077

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Solution

The third proportional to 70,482 and 103,077 is: 150,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482 : 103,077 = 103,077 : x
  2. Step 2: Convert to fraction form
    70,482/103,077 = 103,077/x
  3. Step 3: Cross multiply
    70,482x = 103,077 × 103,077
  4. Step 4: Simplify right side
    70,482x = 10,624,867,929
  5. Step 5: Solve for x
    x = 10,624,867,929/70,482
  6. Step 6: Final answer
    x = 150,745.83

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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.