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Finding the Third Proportional to 127,181.75 and 276,233.50

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Solution

The third proportional to 127,181.75 and 276,233.50 is: 599,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,181.75 : 276,233.50 = 276,233.50 : x
  2. Step 2: Convert to fraction form
    127,181.75/276,233.50 = 276,233.50/x
  3. Step 3: Cross multiply
    127,181.75x = 276,233.50 × 276,233.50
  4. Step 4: Simplify right side
    127,181.75x = 76,304,946,522.25
  5. Step 5: Solve for x
    x = 76,304,946,522.25/127,181.75
  6. Step 6: Final answer
    x = 599,967.74

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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.