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Finding the Third Proportional to 46,165 and 69,175

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Solution

The third proportional to 46,165 and 69,175 is: 103,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,165 : 69,175 = 69,175 : x
  2. Step 2: Convert to fraction form
    46,165/69,175 = 69,175/x
  3. Step 3: Cross multiply
    46,165x = 69,175 × 69,175
  4. Step 4: Simplify right side
    46,165x = 4,785,180,625
  5. Step 5: Solve for x
    x = 4,785,180,625/46,165
  6. Step 6: Final answer
    x = 103,653.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.