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Finding the Third Proportional to 120,012 and 262,623

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Solution

The third proportional to 120,012 and 262,623 is: 574,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,012 : 262,623 = 262,623 : x
  2. Step 2: Convert to fraction form
    120,012/262,623 = 262,623/x
  3. Step 3: Cross multiply
    120,012x = 262,623 × 262,623
  4. Step 4: Simplify right side
    120,012x = 68,970,840,129
  5. Step 5: Solve for x
    x = 68,970,840,129/120,012
  6. Step 6: Final answer
    x = 574,699.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.