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Finding the Third Proportional to 78,676 and 169,916

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Solution

The third proportional to 78,676 and 169,916 is: 366,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676 : 169,916 = 169,916 : x
  2. Step 2: Convert to fraction form
    78,676/169,916 = 169,916/x
  3. Step 3: Cross multiply
    78,676x = 169,916 × 169,916
  4. Step 4: Simplify right side
    78,676x = 28,871,447,056
  5. Step 5: Solve for x
    x = 28,871,447,056/78,676
  6. Step 6: Final answer
    x = 366,966.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.