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Finding the Third Proportional to 125,832 and 279,636

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Solution

The third proportional to 125,832 and 279,636 is: 621,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,832 : 279,636 = 279,636 : x
  2. Step 2: Convert to fraction form
    125,832/279,636 = 279,636/x
  3. Step 3: Cross multiply
    125,832x = 279,636 × 279,636
  4. Step 4: Simplify right side
    125,832x = 78,196,292,496
  5. Step 5: Solve for x
    x = 78,196,292,496/125,832
  6. Step 6: Final answer
    x = 621,434.07

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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.