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Finding the Third Proportional to 46,377 and 100,165

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Solution

The third proportional to 46,377 and 100,165 is: 216,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377 : 100,165 = 100,165 : x
  2. Step 2: Convert to fraction form
    46,377/100,165 = 100,165/x
  3. Step 3: Cross multiply
    46,377x = 100,165 × 100,165
  4. Step 4: Simplify right side
    46,377x = 10,033,027,225
  5. Step 5: Solve for x
    x = 10,033,027,225/46,377
  6. Step 6: Final answer
    x = 216,336.27

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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.