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Finding the Third Proportional to 91,262 and 212,027

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Solution

The third proportional to 91,262 and 212,027 is: 492,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,262 : 212,027 = 212,027 : x
  2. Step 2: Convert to fraction form
    91,262/212,027 = 212,027/x
  3. Step 3: Cross multiply
    91,262x = 212,027 × 212,027
  4. Step 4: Simplify right side
    91,262x = 44,955,448,729
  5. Step 5: Solve for x
    x = 44,955,448,729/91,262
  6. Step 6: Final answer
    x = 492,597.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.