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Finding the Third Proportional to 127,070 and 276,274

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Solution

The third proportional to 127,070 and 276,274 is: 600,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,070 : 276,274 = 276,274 : x
  2. Step 2: Convert to fraction form
    127,070/276,274 = 276,274/x
  3. Step 3: Cross multiply
    127,070x = 276,274 × 276,274
  4. Step 4: Simplify right side
    127,070x = 76,327,323,076
  5. Step 5: Solve for x
    x = 76,327,323,076/127,070
  6. Step 6: Final answer
    x = 600,671.47

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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.