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Finding the Third Proportional to 127,543 and 278,049

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Solution

The third proportional to 127,543 and 278,049 is: 606,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,543 : 278,049 = 278,049 : x
  2. Step 2: Convert to fraction form
    127,543/278,049 = 278,049/x
  3. Step 3: Cross multiply
    127,543x = 278,049 × 278,049
  4. Step 4: Simplify right side
    127,543x = 77,311,246,401
  5. Step 5: Solve for x
    x = 77,311,246,401/127,543
  6. Step 6: Final answer
    x = 606,158.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.