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Finding the Third Proportional to 100,620 and 136,168

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Solution

The third proportional to 100,620 and 136,168 is: 184,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620 : 136,168 = 136,168 : x
  2. Step 2: Convert to fraction form
    100,620/136,168 = 136,168/x
  3. Step 3: Cross multiply
    100,620x = 136,168 × 136,168
  4. Step 4: Simplify right side
    100,620x = 18,541,724,224
  5. Step 5: Solve for x
    x = 18,541,724,224/100,620
  6. Step 6: Final answer
    x = 184,274.74

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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.