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Finding the Third Proportional to 70,962 and 106,740

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Solution

The third proportional to 70,962 and 106,740 is: 160,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,962 : 106,740 = 106,740 : x
  2. Step 2: Convert to fraction form
    70,962/106,740 = 106,740/x
  3. Step 3: Cross multiply
    70,962x = 106,740 × 106,740
  4. Step 4: Simplify right side
    70,962x = 11,393,427,600
  5. Step 5: Solve for x
    x = 11,393,427,600/70,962
  6. Step 6: Final answer
    x = 160,556.74

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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.