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Finding the Third Proportional to 100,630 and 136,179

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Solution

The third proportional to 100,630 and 136,179 is: 184,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,630 : 136,179 = 136,179 : x
  2. Step 2: Convert to fraction form
    100,630/136,179 = 136,179/x
  3. Step 3: Cross multiply
    100,630x = 136,179 × 136,179
  4. Step 4: Simplify right side
    100,630x = 18,544,720,041
  5. Step 5: Solve for x
    x = 18,544,720,041/100,630
  6. Step 6: Final answer
    x = 184,286.20

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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.