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Finding the Third Proportional to 123,063 and 268,361

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Solution

The third proportional to 123,063 and 268,361 is: 585,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,063 : 268,361 = 268,361 : x
  2. Step 2: Convert to fraction form
    123,063/268,361 = 268,361/x
  3. Step 3: Cross multiply
    123,063x = 268,361 × 268,361
  4. Step 4: Simplify right side
    123,063x = 72,017,626,321
  5. Step 5: Solve for x
    x = 72,017,626,321/123,063
  6. Step 6: Final answer
    x = 585,209.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.