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Finding the Third Proportional to 123,062 and 289,749

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Solution

The third proportional to 123,062 and 289,749 is: 682,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,062 : 289,749 = 289,749 : x
  2. Step 2: Convert to fraction form
    123,062/289,749 = 289,749/x
  3. Step 3: Cross multiply
    123,062x = 289,749 × 289,749
  4. Step 4: Simplify right side
    123,062x = 83,954,483,001
  5. Step 5: Solve for x
    x = 83,954,483,001/123,062
  6. Step 6: Final answer
    x = 682,212.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.