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Finding the Third Proportional to 127,878 and 276,114

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Solution

The third proportional to 127,878 and 276,114 is: 596,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878 : 276,114 = 276,114 : x
  2. Step 2: Convert to fraction form
    127,878/276,114 = 276,114/x
  3. Step 3: Cross multiply
    127,878x = 276,114 × 276,114
  4. Step 4: Simplify right side
    127,878x = 76,238,940,996
  5. Step 5: Solve for x
    x = 76,238,940,996/127,878
  6. Step 6: Final answer
    x = 596,184.97

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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.