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Finding the Third Proportional to 125,846 and 279,664

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Solution

The third proportional to 125,846 and 279,664 is: 621,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,846 : 279,664 = 279,664 : x
  2. Step 2: Convert to fraction form
    125,846/279,664 = 279,664/x
  3. Step 3: Cross multiply
    125,846x = 279,664 × 279,664
  4. Step 4: Simplify right side
    125,846x = 78,211,952,896
  5. Step 5: Solve for x
    x = 78,211,952,896/125,846
  6. Step 6: Final answer
    x = 621,489.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.