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Finding the Third Proportional to 125,299 and 260,966

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Solution

The third proportional to 125,299 and 260,966 is: 543,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,299 : 260,966 = 260,966 : x
  2. Step 2: Convert to fraction form
    125,299/260,966 = 260,966/x
  3. Step 3: Cross multiply
    125,299x = 260,966 × 260,966
  4. Step 4: Simplify right side
    125,299x = 68,103,253,156
  5. Step 5: Solve for x
    x = 68,103,253,156/125,299
  6. Step 6: Final answer
    x = 543,525.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.