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Finding the Third Proportional to 124,623 and 274,168

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Solution

The third proportional to 124,623 and 274,168 is: 603,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,623 : 274,168 = 274,168 : x
  2. Step 2: Convert to fraction form
    124,623/274,168 = 274,168/x
  3. Step 3: Cross multiply
    124,623x = 274,168 × 274,168
  4. Step 4: Simplify right side
    124,623x = 75,168,092,224
  5. Step 5: Solve for x
    x = 75,168,092,224/124,623
  6. Step 6: Final answer
    x = 603,163.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.