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Finding the Third Proportional to 56,094 and 119,112

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Solution

The third proportional to 56,094 and 119,112 is: 252,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,094 : 119,112 = 119,112 : x
  2. Step 2: Convert to fraction form
    56,094/119,112 = 119,112/x
  3. Step 3: Cross multiply
    56,094x = 119,112 × 119,112
  4. Step 4: Simplify right side
    56,094x = 14,187,668,544
  5. Step 5: Solve for x
    x = 14,187,668,544/56,094
  6. Step 6: Final answer
    x = 252,926.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.