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Finding the Third Proportional to 127,574 and 276,883

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Solution

The third proportional to 127,574 and 276,883 is: 600,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,574 : 276,883 = 276,883 : x
  2. Step 2: Convert to fraction form
    127,574/276,883 = 276,883/x
  3. Step 3: Cross multiply
    127,574x = 276,883 × 276,883
  4. Step 4: Simplify right side
    127,574x = 76,664,195,689
  5. Step 5: Solve for x
    x = 76,664,195,689/127,574
  6. Step 6: Final answer
    x = 600,939.03

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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.