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Finding the Third Proportional to 30,202 and 61,213

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Solution

The third proportional to 30,202 and 61,213 is: 124,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202 : 61,213 = 61,213 : x
  2. Step 2: Convert to fraction form
    30,202/61,213 = 61,213/x
  3. Step 3: Cross multiply
    30,202x = 61,213 × 61,213
  4. Step 4: Simplify right side
    30,202x = 3,747,031,369
  5. Step 5: Solve for x
    x = 3,747,031,369/30,202
  6. Step 6: Final answer
    x = 124,065.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.