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Finding the Third Proportional to 30,242 and 60,605

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Solution

The third proportional to 30,242 and 60,605 is: 121,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242 : 60,605 = 60,605 : x
  2. Step 2: Convert to fraction form
    30,242/60,605 = 60,605/x
  3. Step 3: Cross multiply
    30,242x = 60,605 × 60,605
  4. Step 4: Simplify right side
    30,242x = 3,672,966,025
  5. Step 5: Solve for x
    x = 3,672,966,025/30,242
  6. Step 6: Final answer
    x = 121,452.48

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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.