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Finding the Third Proportional to 126,851 and 276,301

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Solution

The third proportional to 126,851 and 276,301 is: 601,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,851 : 276,301 = 276,301 : x
  2. Step 2: Convert to fraction form
    126,851/276,301 = 276,301/x
  3. Step 3: Cross multiply
    126,851x = 276,301 × 276,301
  4. Step 4: Simplify right side
    126,851x = 76,342,242,601
  5. Step 5: Solve for x
    x = 76,342,242,601/126,851
  6. Step 6: Final answer
    x = 601,826.10

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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.