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Finding the Third Proportional to 126,117 and 274,833

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Solution

The third proportional to 126,117 and 274,833 is: 598,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,117 : 274,833 = 274,833 : x
  2. Step 2: Convert to fraction form
    126,117/274,833 = 274,833/x
  3. Step 3: Cross multiply
    126,117x = 274,833 × 274,833
  4. Step 4: Simplify right side
    126,117x = 75,533,177,889
  5. Step 5: Solve for x
    x = 75,533,177,889/126,117
  6. Step 6: Final answer
    x = 598,913.53

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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.