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Finding the Third Proportional to 125,874 and 274,968

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Solution

The third proportional to 125,874 and 274,968 is: 600,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874 : 274,968 = 274,968 : x
  2. Step 2: Convert to fraction form
    125,874/274,968 = 274,968/x
  3. Step 3: Cross multiply
    125,874x = 274,968 × 274,968
  4. Step 4: Simplify right side
    125,874x = 75,607,401,024
  5. Step 5: Solve for x
    x = 75,607,401,024/125,874
  6. Step 6: Final answer
    x = 600,659.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.