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Finding the Third Proportional to 103,996 and 167,478

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Solution

The third proportional to 103,996 and 167,478 is: 269,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,996 : 167,478 = 167,478 : x
  2. Step 2: Convert to fraction form
    103,996/167,478 = 167,478/x
  3. Step 3: Cross multiply
    103,996x = 167,478 × 167,478
  4. Step 4: Simplify right side
    103,996x = 28,048,880,484
  5. Step 5: Solve for x
    x = 28,048,880,484/103,996
  6. Step 6: Final answer
    x = 269,711.15

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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.