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Finding the Third Proportional to 127,395 and 276,903

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Solution

The third proportional to 127,395 and 276,903 is: 601,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,395 : 276,903 = 276,903 : x
  2. Step 2: Convert to fraction form
    127,395/276,903 = 276,903/x
  3. Step 3: Cross multiply
    127,395x = 276,903 × 276,903
  4. Step 4: Simplify right side
    127,395x = 76,675,271,409
  5. Step 5: Solve for x
    x = 76,675,271,409/127,395
  6. Step 6: Final answer
    x = 601,870.34

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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.