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Finding the Third Proportional to 83,794.50 and 117,212.06

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Solution

The third proportional to 83,794.50 and 117,212.06 is: 163,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.50 : 117,212.06 = 117,212.06 : x
  2. Step 2: Convert to fraction form
    83,794.50/117,212.06 = 117,212.06/x
  3. Step 3: Cross multiply
    83,794.50x = 117,212.06 × 117,212.06
  4. Step 4: Simplify right side
    83,794.50x = 13,738,667,595.50
  5. Step 5: Solve for x
    x = 13,738,667,595.50/83,794.50
  6. Step 6: Final answer
    x = 163,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.