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Finding the Third Proportional to 70,923 and 104,982

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Solution

The third proportional to 70,923 and 104,982 is: 155,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,923 : 104,982 = 104,982 : x
  2. Step 2: Convert to fraction form
    70,923/104,982 = 104,982/x
  3. Step 3: Cross multiply
    70,923x = 104,982 × 104,982
  4. Step 4: Simplify right side
    70,923x = 11,021,220,324
  5. Step 5: Solve for x
    x = 11,021,220,324/70,923
  6. Step 6: Final answer
    x = 155,396.98

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Why These Related Problems?

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