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Finding the Third Proportional to 30,204 and 65,655

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Solution

The third proportional to 30,204 and 65,655 is: 142,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 65,655 = 65,655 : x
  2. Step 2: Convert to fraction form
    30,204/65,655 = 65,655/x
  3. Step 3: Cross multiply
    30,204x = 65,655 × 65,655
  4. Step 4: Simplify right side
    30,204x = 4,310,579,025
  5. Step 5: Solve for x
    x = 4,310,579,025/30,204
  6. Step 6: Final answer
    x = 142,715.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.