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Finding the Third Proportional to 70,963 and 106,741

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Solution

The third proportional to 70,963 and 106,741 is: 160,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963 : 106,741 = 106,741 : x
  2. Step 2: Convert to fraction form
    70,963/106,741 = 106,741/x
  3. Step 3: Cross multiply
    70,963x = 106,741 × 106,741
  4. Step 4: Simplify right side
    70,963x = 11,393,641,081
  5. Step 5: Solve for x
    x = 11,393,641,081/70,963
  6. Step 6: Final answer
    x = 160,557.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.