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Finding the Third Proportional to 46,999 and 67,906

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Solution

The third proportional to 46,999 and 67,906 is: 98,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999 : 67,906 = 67,906 : x
  2. Step 2: Convert to fraction form
    46,999/67,906 = 67,906/x
  3. Step 3: Cross multiply
    46,999x = 67,906 × 67,906
  4. Step 4: Simplify right side
    46,999x = 4,611,224,836
  5. Step 5: Solve for x
    x = 4,611,224,836/46,999
  6. Step 6: Final answer
    x = 98,113.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.