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Finding the Third Proportional to 115,736 and 180,370

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Solution

The third proportional to 115,736 and 180,370 is: 281,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,736 : 180,370 = 180,370 : x
  2. Step 2: Convert to fraction form
    115,736/180,370 = 180,370/x
  3. Step 3: Cross multiply
    115,736x = 180,370 × 180,370
  4. Step 4: Simplify right side
    115,736x = 32,533,336,900
  5. Step 5: Solve for x
    x = 32,533,336,900/115,736
  6. Step 6: Final answer
    x = 281,099.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.