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Finding the Third Proportional to 124,660 and 266,834

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Solution

The third proportional to 124,660 and 266,834 is: 571,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,660 : 266,834 = 266,834 : x
  2. Step 2: Convert to fraction form
    124,660/266,834 = 266,834/x
  3. Step 3: Cross multiply
    124,660x = 266,834 × 266,834
  4. Step 4: Simplify right side
    124,660x = 71,200,383,556
  5. Step 5: Solve for x
    x = 71,200,383,556/124,660
  6. Step 6: Final answer
    x = 571,156.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.