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Finding the Third Proportional to 103,966 and 167,434

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Solution

The third proportional to 103,966 and 167,434 is: 269,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,966 : 167,434 = 167,434 : x
  2. Step 2: Convert to fraction form
    103,966/167,434 = 167,434/x
  3. Step 3: Cross multiply
    103,966x = 167,434 × 167,434
  4. Step 4: Simplify right side
    103,966x = 28,034,144,356
  5. Step 5: Solve for x
    x = 28,034,144,356/103,966
  6. Step 6: Final answer
    x = 269,647.23

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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.