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Finding the Third Proportional to 127,406 and 276,964

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Solution

The third proportional to 127,406 and 276,964 is: 602,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,406 : 276,964 = 276,964 : x
  2. Step 2: Convert to fraction form
    127,406/276,964 = 276,964/x
  3. Step 3: Cross multiply
    127,406x = 276,964 × 276,964
  4. Step 4: Simplify right side
    127,406x = 76,709,057,296
  5. Step 5: Solve for x
    x = 76,709,057,296/127,406
  6. Step 6: Final answer
    x = 602,083.55

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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.