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Finding the Third Proportional to 30,091 and 60,299

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Solution

The third proportional to 30,091 and 60,299 is: 120,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091 : 60,299 = 60,299 : x
  2. Step 2: Convert to fraction form
    30,091/60,299 = 60,299/x
  3. Step 3: Cross multiply
    30,091x = 60,299 × 60,299
  4. Step 4: Simplify right side
    30,091x = 3,635,969,401
  5. Step 5: Solve for x
    x = 3,635,969,401/30,091
  6. Step 6: Final answer
    x = 120,832.45

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.