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Finding the Third Proportional to 124,664 and 274,250

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Solution

The third proportional to 124,664 and 274,250 is: 603,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 274,250 = 274,250 : x
  2. Step 2: Convert to fraction form
    124,664/274,250 = 274,250/x
  3. Step 3: Cross multiply
    124,664x = 274,250 × 274,250
  4. Step 4: Simplify right side
    124,664x = 75,213,062,500
  5. Step 5: Solve for x
    x = 75,213,062,500/124,664
  6. Step 6: Final answer
    x = 603,326.24

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