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Finding the Third Proportional to 70,964 and 106,743

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Solution

The third proportional to 70,964 and 106,743 is: 160,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,964 : 106,743 = 106,743 : x
  2. Step 2: Convert to fraction form
    70,964/106,743 = 106,743/x
  3. Step 3: Cross multiply
    70,964x = 106,743 × 106,743
  4. Step 4: Simplify right side
    70,964x = 11,394,068,049
  5. Step 5: Solve for x
    x = 11,394,068,049/70,964
  6. Step 6: Final answer
    x = 160,561.24

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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.