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Finding the Third Proportional to 46,094 and 68,847

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Solution

The third proportional to 46,094 and 68,847 is: 102,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,094 : 68,847 = 68,847 : x
  2. Step 2: Convert to fraction form
    46,094/68,847 = 68,847/x
  3. Step 3: Cross multiply
    46,094x = 68,847 × 68,847
  4. Step 4: Simplify right side
    46,094x = 4,739,909,409
  5. Step 5: Solve for x
    x = 4,739,909,409/46,094
  6. Step 6: Final answer
    x = 102,831.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.