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Finding the Third Proportional to 144,852 and 212,092

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Solution

The third proportional to 144,852 and 212,092 is: 310,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,852 : 212,092 = 212,092 : x
  2. Step 2: Convert to fraction form
    144,852/212,092 = 212,092/x
  3. Step 3: Cross multiply
    144,852x = 212,092 × 212,092
  4. Step 4: Simplify right side
    144,852x = 44,983,016,464
  5. Step 5: Solve for x
    x = 44,983,016,464/144,852
  6. Step 6: Final answer
    x = 310,544.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.