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Finding the Third Proportional to 125,294 and 260,954

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Solution

The third proportional to 125,294 and 260,954 is: 543,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294 : 260,954 = 260,954 : x
  2. Step 2: Convert to fraction form
    125,294/260,954 = 260,954/x
  3. Step 3: Cross multiply
    125,294x = 260,954 × 260,954
  4. Step 4: Simplify right side
    125,294x = 68,096,990,116
  5. Step 5: Solve for x
    x = 68,096,990,116/125,294
  6. Step 6: Final answer
    x = 543,497.61

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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.