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Finding the Third Proportional to 65,823 and 134,762

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Solution

The third proportional to 65,823 and 134,762 is: 275,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823 : 134,762 = 134,762 : x
  2. Step 2: Convert to fraction form
    65,823/134,762 = 134,762/x
  3. Step 3: Cross multiply
    65,823x = 134,762 × 134,762
  4. Step 4: Simplify right side
    65,823x = 18,160,796,644
  5. Step 5: Solve for x
    x = 18,160,796,644/65,823
  6. Step 6: Final answer
    x = 275,903.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.