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Finding the Third Proportional to 100,609 and 136,150

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Solution

The third proportional to 100,609 and 136,150 is: 184,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609 : 136,150 = 136,150 : x
  2. Step 2: Convert to fraction form
    100,609/136,150 = 136,150/x
  3. Step 3: Cross multiply
    100,609x = 136,150 × 136,150
  4. Step 4: Simplify right side
    100,609x = 18,536,822,500
  5. Step 5: Solve for x
    x = 18,536,822,500/100,609
  6. Step 6: Final answer
    x = 184,246.17

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