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Finding the Third Proportional to 30,202 and 61,268

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Solution

The third proportional to 30,202 and 61,268 is: 124,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202 : 61,268 = 61,268 : x
  2. Step 2: Convert to fraction form
    30,202/61,268 = 61,268/x
  3. Step 3: Cross multiply
    30,202x = 61,268 × 61,268
  4. Step 4: Simplify right side
    30,202x = 3,753,767,824
  5. Step 5: Solve for x
    x = 3,753,767,824/30,202
  6. Step 6: Final answer
    x = 124,288.72

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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.