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Finding the Third Proportional to 29,936 and 63,112

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Solution

The third proportional to 29,936 and 63,112 is: 133,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,936 : 63,112 = 63,112 : x
  2. Step 2: Convert to fraction form
    29,936/63,112 = 63,112/x
  3. Step 3: Cross multiply
    29,936x = 63,112 × 63,112
  4. Step 4: Simplify right side
    29,936x = 3,983,124,544
  5. Step 5: Solve for x
    x = 3,983,124,544/29,936
  6. Step 6: Final answer
    x = 133,054.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.