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Finding the Third Proportional to 100,674.50 and 136,249

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Solution

The third proportional to 100,674.50 and 136,249 is: 184,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674.50 : 136,249 = 136,249 : x
  2. Step 2: Convert to fraction form
    100,674.50/136,249 = 136,249/x
  3. Step 3: Cross multiply
    100,674.50x = 136,249 × 136,249
  4. Step 4: Simplify right side
    100,674.50x = 18,563,790,001
  5. Step 5: Solve for x
    x = 18,563,790,001/100,674.50
  6. Step 6: Final answer
    x = 184,394.16

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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.