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Finding the Third Proportional to 100,696 and 136,274

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Solution

The third proportional to 100,696 and 136,274 is: 184,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696 : 136,274 = 136,274 : x
  2. Step 2: Convert to fraction form
    100,696/136,274 = 136,274/x
  3. Step 3: Cross multiply
    100,696x = 136,274 × 136,274
  4. Step 4: Simplify right side
    100,696x = 18,570,603,076
  5. Step 5: Solve for x
    x = 18,570,603,076/100,696
  6. Step 6: Final answer
    x = 184,422.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.