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Finding the Third Proportional to 72,668 and 156,467

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Solution

The third proportional to 72,668 and 156,467 is: 336,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,668 : 156,467 = 156,467 : x
  2. Step 2: Convert to fraction form
    72,668/156,467 = 156,467/x
  3. Step 3: Cross multiply
    72,668x = 156,467 × 156,467
  4. Step 4: Simplify right side
    72,668x = 24,481,922,089
  5. Step 5: Solve for x
    x = 24,481,922,089/72,668
  6. Step 6: Final answer
    x = 336,901.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.