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Finding the Third Proportional to 69,672 and 107,916

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Solution

The third proportional to 69,672 and 107,916 is: 167,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672 : 107,916 = 107,916 : x
  2. Step 2: Convert to fraction form
    69,672/107,916 = 107,916/x
  3. Step 3: Cross multiply
    69,672x = 107,916 × 107,916
  4. Step 4: Simplify right side
    69,672x = 11,645,863,056
  5. Step 5: Solve for x
    x = 11,645,863,056/69,672
  6. Step 6: Final answer
    x = 167,152.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.