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Finding the Third Proportional to 103,948 and 167,405

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Solution

The third proportional to 103,948 and 167,405 is: 269,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,948 : 167,405 = 167,405 : x
  2. Step 2: Convert to fraction form
    103,948/167,405 = 167,405/x
  3. Step 3: Cross multiply
    103,948x = 167,405 × 167,405
  4. Step 4: Simplify right side
    103,948x = 28,024,434,025
  5. Step 5: Solve for x
    x = 28,024,434,025/103,948
  6. Step 6: Final answer
    x = 269,600.51

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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.