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Finding the Third Proportional to 122,620 and 262,732

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Solution

The third proportional to 122,620 and 262,732 is: 562,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,620 : 262,732 = 262,732 : x
  2. Step 2: Convert to fraction form
    122,620/262,732 = 262,732/x
  3. Step 3: Cross multiply
    122,620x = 262,732 × 262,732
  4. Step 4: Simplify right side
    122,620x = 69,028,103,824
  5. Step 5: Solve for x
    x = 69,028,103,824/122,620
  6. Step 6: Final answer
    x = 562,943.27

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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.