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Finding the Third Proportional to 127,412 and 274,648

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Solution

The third proportional to 127,412 and 274,648 is: 592,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,412 : 274,648 = 274,648 : x
  2. Step 2: Convert to fraction form
    127,412/274,648 = 274,648/x
  3. Step 3: Cross multiply
    127,412x = 274,648 × 274,648
  4. Step 4: Simplify right side
    127,412x = 75,431,523,904
  5. Step 5: Solve for x
    x = 75,431,523,904/127,412
  6. Step 6: Final answer
    x = 592,028.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.