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Finding the Third Proportional to 70,634 and 106,671

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Solution

The third proportional to 70,634 and 106,671 is: 161,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,634 : 106,671 = 106,671 : x
  2. Step 2: Convert to fraction form
    70,634/106,671 = 106,671/x
  3. Step 3: Cross multiply
    70,634x = 106,671 × 106,671
  4. Step 4: Simplify right side
    70,634x = 11,378,702,241
  5. Step 5: Solve for x
    x = 11,378,702,241/70,634
  6. Step 6: Final answer
    x = 161,093.84

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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.