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Finding the Third Proportional to 123,709.50 and 275,751

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Solution

The third proportional to 123,709.50 and 275,751 is: 614,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,709.50 : 275,751 = 275,751 : x
  2. Step 2: Convert to fraction form
    123,709.50/275,751 = 275,751/x
  3. Step 3: Cross multiply
    123,709.50x = 275,751 × 275,751
  4. Step 4: Simplify right side
    123,709.50x = 76,038,614,001
  5. Step 5: Solve for x
    x = 76,038,614,001/123,709.50
  6. Step 6: Final answer
    x = 614,654.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.