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Finding the Third Proportional to 127,774 and 271,938

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Solution

The third proportional to 127,774 and 271,938 is: 578,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,774 : 271,938 = 271,938 : x
  2. Step 2: Convert to fraction form
    127,774/271,938 = 271,938/x
  3. Step 3: Cross multiply
    127,774x = 271,938 × 271,938
  4. Step 4: Simplify right side
    127,774x = 73,950,275,844
  5. Step 5: Solve for x
    x = 73,950,275,844/127,774
  6. Step 6: Final answer
    x = 578,758.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.