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Finding the Third Proportional to 78,040 and 167,916

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Solution

The third proportional to 78,040 and 167,916 is: 361,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040 : 167,916 = 167,916 : x
  2. Step 2: Convert to fraction form
    78,040/167,916 = 167,916/x
  3. Step 3: Cross multiply
    78,040x = 167,916 × 167,916
  4. Step 4: Simplify right side
    78,040x = 28,195,783,056
  5. Step 5: Solve for x
    x = 28,195,783,056/78,040
  6. Step 6: Final answer
    x = 361,299.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.