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Finding the Third Proportional to 125,296 and 260,960

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Solution

The third proportional to 125,296 and 260,960 is: 543,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,296 : 260,960 = 260,960 : x
  2. Step 2: Convert to fraction form
    125,296/260,960 = 260,960/x
  3. Step 3: Cross multiply
    125,296x = 260,960 × 260,960
  4. Step 4: Simplify right side
    125,296x = 68,100,121,600
  5. Step 5: Solve for x
    x = 68,100,121,600/125,296
  6. Step 6: Final answer
    x = 543,513.93

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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.