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Finding the Third Proportional to 100,552 and 213,956

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Solution

The third proportional to 100,552 and 213,956 is: 455,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,552 : 213,956 = 213,956 : x
  2. Step 2: Convert to fraction form
    100,552/213,956 = 213,956/x
  3. Step 3: Cross multiply
    100,552x = 213,956 × 213,956
  4. Step 4: Simplify right side
    100,552x = 45,777,169,936
  5. Step 5: Solve for x
    x = 45,777,169,936/100,552
  6. Step 6: Final answer
    x = 455,258.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.