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Finding the Third Proportional to 113,819.63 and 163,950.75

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Solution

The third proportional to 113,819.63 and 163,950.75 is: 236,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,819.63 : 163,950.75 = 163,950.75 : x
  2. Step 2: Convert to fraction form
    113,819.63/163,950.75 = 163,950.75/x
  3. Step 3: Cross multiply
    113,819.63x = 163,950.75 × 163,950.75
  4. Step 4: Simplify right side
    113,819.63x = 26,879,848,425.56
  5. Step 5: Solve for x
    x = 26,879,848,425.56/113,819.63
  6. Step 6: Final answer
    x = 236,161.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.