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Finding the Third Proportional to 46,943 and 100,054

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Solution

The third proportional to 46,943 and 100,054 is: 213,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943 : 100,054 = 100,054 : x
  2. Step 2: Convert to fraction form
    46,943/100,054 = 100,054/x
  3. Step 3: Cross multiply
    46,943x = 100,054 × 100,054
  4. Step 4: Simplify right side
    46,943x = 10,010,802,916
  5. Step 5: Solve for x
    x = 10,010,802,916/46,943
  6. Step 6: Final answer
    x = 213,254.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.