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Finding the Third Proportional to 127,214 and 276,300

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Solution

The third proportional to 127,214 and 276,300 is: 600,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,214 : 276,300 = 276,300 : x
  2. Step 2: Convert to fraction form
    127,214/276,300 = 276,300/x
  3. Step 3: Cross multiply
    127,214x = 276,300 × 276,300
  4. Step 4: Simplify right side
    127,214x = 76,341,690,000
  5. Step 5: Solve for x
    x = 76,341,690,000/127,214
  6. Step 6: Final answer
    x = 600,104.47

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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.