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Finding the Third Proportional to 76,669 and 162,450

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Solution

The third proportional to 76,669 and 162,450 is: 344,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669 : 162,450 = 162,450 : x
  2. Step 2: Convert to fraction form
    76,669/162,450 = 162,450/x
  3. Step 3: Cross multiply
    76,669x = 162,450 × 162,450
  4. Step 4: Simplify right side
    76,669x = 26,390,002,500
  5. Step 5: Solve for x
    x = 26,390,002,500/76,669
  6. Step 6: Final answer
    x = 344,206.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.