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Finding the Third Proportional to 66,107 and 106,419

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Solution

The third proportional to 66,107 and 106,419 is: 171,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,107 : 106,419 = 106,419 : x
  2. Step 2: Convert to fraction form
    66,107/106,419 = 106,419/x
  3. Step 3: Cross multiply
    66,107x = 106,419 × 106,419
  4. Step 4: Simplify right side
    66,107x = 11,325,003,561
  5. Step 5: Solve for x
    x = 11,325,003,561/66,107
  6. Step 6: Final answer
    x = 171,313.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.