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Finding the Third Proportional to 70,774 and 106,707

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Solution

The third proportional to 70,774 and 106,707 is: 160,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,774 : 106,707 = 106,707 : x
  2. Step 2: Convert to fraction form
    70,774/106,707 = 106,707/x
  3. Step 3: Cross multiply
    70,774x = 106,707 × 106,707
  4. Step 4: Simplify right side
    70,774x = 11,386,383,849
  5. Step 5: Solve for x
    x = 11,386,383,849/70,774
  6. Step 6: Final answer
    x = 160,883.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.