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Finding the Third Proportional to 72,286 and 156,796

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Solution

The third proportional to 72,286 and 156,796 is: 340,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286 : 156,796 = 156,796 : x
  2. Step 2: Convert to fraction form
    72,286/156,796 = 156,796/x
  3. Step 3: Cross multiply
    72,286x = 156,796 × 156,796
  4. Step 4: Simplify right side
    72,286x = 24,584,985,616
  5. Step 5: Solve for x
    x = 24,584,985,616/72,286
  6. Step 6: Final answer
    x = 340,107.15

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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.