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Finding the Third Proportional to 30,149 and 65,485

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Solution

The third proportional to 30,149 and 65,485 is: 142,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149 : 65,485 = 65,485 : x
  2. Step 2: Convert to fraction form
    30,149/65,485 = 65,485/x
  3. Step 3: Cross multiply
    30,149x = 65,485 × 65,485
  4. Step 4: Simplify right side
    30,149x = 4,288,285,225
  5. Step 5: Solve for x
    x = 4,288,285,225/30,149
  6. Step 6: Final answer
    x = 142,236.40

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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.