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Finding the Third Proportional to 125,338 and 261,004

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Solution

The third proportional to 125,338 and 261,004 is: 543,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,338 : 261,004 = 261,004 : x
  2. Step 2: Convert to fraction form
    125,338/261,004 = 261,004/x
  3. Step 3: Cross multiply
    125,338x = 261,004 × 261,004
  4. Step 4: Simplify right side
    125,338x = 68,123,088,016
  5. Step 5: Solve for x
    x = 68,123,088,016/125,338
  6. Step 6: Final answer
    x = 543,515.04

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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.