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Finding the Third Proportional to 100,611 and 136,153

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Solution

The third proportional to 100,611 and 136,153 is: 184,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611 : 136,153 = 136,153 : x
  2. Step 2: Convert to fraction form
    100,611/136,153 = 136,153/x
  3. Step 3: Cross multiply
    100,611x = 136,153 × 136,153
  4. Step 4: Simplify right side
    100,611x = 18,537,639,409
  5. Step 5: Solve for x
    x = 18,537,639,409/100,611
  6. Step 6: Final answer
    x = 184,250.62

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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.