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Finding the Third Proportional to 126,745 and 275,386

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Solution

The third proportional to 126,745 and 275,386 is: 598,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,745 : 275,386 = 275,386 : x
  2. Step 2: Convert to fraction form
    126,745/275,386 = 275,386/x
  3. Step 3: Cross multiply
    126,745x = 275,386 × 275,386
  4. Step 4: Simplify right side
    126,745x = 75,837,448,996
  5. Step 5: Solve for x
    x = 75,837,448,996/126,745
  6. Step 6: Final answer
    x = 598,346.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.