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Finding the Third Proportional to 127,052 and 250,890

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Solution

The third proportional to 127,052 and 250,890 is: 495,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,052 : 250,890 = 250,890 : x
  2. Step 2: Convert to fraction form
    127,052/250,890 = 250,890/x
  3. Step 3: Cross multiply
    127,052x = 250,890 × 250,890
  4. Step 4: Simplify right side
    127,052x = 62,945,792,100
  5. Step 5: Solve for x
    x = 62,945,792,100/127,052
  6. Step 6: Final answer
    x = 495,433.30

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.