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Finding the Third Proportional to 107,713 and 164,485

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Solution

The third proportional to 107,713 and 164,485 is: 251,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,713 : 164,485 = 164,485 : x
  2. Step 2: Convert to fraction form
    107,713/164,485 = 164,485/x
  3. Step 3: Cross multiply
    107,713x = 164,485 × 164,485
  4. Step 4: Simplify right side
    107,713x = 27,055,315,225
  5. Step 5: Solve for x
    x = 27,055,315,225/107,713
  6. Step 6: Final answer
    x = 251,179.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.