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Finding the Third Proportional to 127,091 and 250,993

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Solution

The third proportional to 127,091 and 250,993 is: 495,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,091 : 250,993 = 250,993 : x
  2. Step 2: Convert to fraction form
    127,091/250,993 = 250,993/x
  3. Step 3: Cross multiply
    127,091x = 250,993 × 250,993
  4. Step 4: Simplify right side
    127,091x = 62,997,486,049
  5. Step 5: Solve for x
    x = 62,997,486,049/127,091
  6. Step 6: Final answer
    x = 495,688.02

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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.