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Finding the Third Proportional to 127,869 and 200,586

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Solution

The third proportional to 127,869 and 200,586 is: 314,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,869 : 200,586 = 200,586 : x
  2. Step 2: Convert to fraction form
    127,869/200,586 = 200,586/x
  3. Step 3: Cross multiply
    127,869x = 200,586 × 200,586
  4. Step 4: Simplify right side
    127,869x = 40,234,743,396
  5. Step 5: Solve for x
    x = 40,234,743,396/127,869
  6. Step 6: Final answer
    x = 314,655.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.