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Finding the Third Proportional to 62,811 and 134,722

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Solution

The third proportional to 62,811 and 134,722 is: 288,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,811 : 134,722 = 134,722 : x
  2. Step 2: Convert to fraction form
    62,811/134,722 = 134,722/x
  3. Step 3: Cross multiply
    62,811x = 134,722 × 134,722
  4. Step 4: Simplify right side
    62,811x = 18,150,017,284
  5. Step 5: Solve for x
    x = 18,150,017,284/62,811
  6. Step 6: Final answer
    x = 288,962.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.