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Finding the Third Proportional to 127,046 and 250,878

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Solution

The third proportional to 127,046 and 250,878 is: 495,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,046 : 250,878 = 250,878 : x
  2. Step 2: Convert to fraction form
    127,046/250,878 = 250,878/x
  3. Step 3: Cross multiply
    127,046x = 250,878 × 250,878
  4. Step 4: Simplify right side
    127,046x = 62,939,770,884
  5. Step 5: Solve for x
    x = 62,939,770,884/127,046
  6. Step 6: Final answer
    x = 495,409.31

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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.