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Finding the Third Proportional to 70,006 and 103,910

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Solution

The third proportional to 70,006 and 103,910 is: 154,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,006 : 103,910 = 103,910 : x
  2. Step 2: Convert to fraction form
    70,006/103,910 = 103,910/x
  3. Step 3: Cross multiply
    70,006x = 103,910 × 103,910
  4. Step 4: Simplify right side
    70,006x = 10,797,288,100
  5. Step 5: Solve for x
    x = 10,797,288,100/70,006
  6. Step 6: Final answer
    x = 154,233.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.