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Finding the Third Proportional to 124,994 and 274,999

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Solution

The third proportional to 124,994 and 274,999 is: 605,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,994 : 274,999 = 274,999 : x
  2. Step 2: Convert to fraction form
    124,994/274,999 = 274,999/x
  3. Step 3: Cross multiply
    124,994x = 274,999 × 274,999
  4. Step 4: Simplify right side
    124,994x = 75,624,450,001
  5. Step 5: Solve for x
    x = 75,624,450,001/124,994
  6. Step 6: Final answer
    x = 605,024.64

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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.