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Finding the Third Proportional to 103,943 and 167,399

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Solution

The third proportional to 103,943 and 167,399 is: 269,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,943 : 167,399 = 167,399 : x
  2. Step 2: Convert to fraction form
    103,943/167,399 = 167,399/x
  3. Step 3: Cross multiply
    103,943x = 167,399 × 167,399
  4. Step 4: Simplify right side
    103,943x = 28,022,425,201
  5. Step 5: Solve for x
    x = 28,022,425,201/103,943
  6. Step 6: Final answer
    x = 269,594.15

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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.