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Finding the Third Proportional to 30,089 and 60,295

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Solution

The third proportional to 30,089 and 60,295 is: 120,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,089 : 60,295 = 60,295 : x
  2. Step 2: Convert to fraction form
    30,089/60,295 = 60,295/x
  3. Step 3: Cross multiply
    30,089x = 60,295 × 60,295
  4. Step 4: Simplify right side
    30,089x = 3,635,487,025
  5. Step 5: Solve for x
    x = 3,635,487,025/30,089
  6. Step 6: Final answer
    x = 120,824.45

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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.