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Finding the Third Proportional to 124,962 and 269,880

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Solution

The third proportional to 124,962 and 269,880 is: 582,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,962 : 269,880 = 269,880 : x
  2. Step 2: Convert to fraction form
    124,962/269,880 = 269,880/x
  3. Step 3: Cross multiply
    124,962x = 269,880 × 269,880
  4. Step 4: Simplify right side
    124,962x = 72,835,214,400
  5. Step 5: Solve for x
    x = 72,835,214,400/124,962
  6. Step 6: Final answer
    x = 582,858.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.