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Finding the Third Proportional to 127,103 and 276,341

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Solution

The third proportional to 127,103 and 276,341 is: 600,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,103 : 276,341 = 276,341 : x
  2. Step 2: Convert to fraction form
    127,103/276,341 = 276,341/x
  3. Step 3: Cross multiply
    127,103x = 276,341 × 276,341
  4. Step 4: Simplify right side
    127,103x = 76,364,348,281
  5. Step 5: Solve for x
    x = 76,364,348,281/127,103
  6. Step 6: Final answer
    x = 600,806.81

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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.