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Finding the Third Proportional to 56,134 and 122,828

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Solution

The third proportional to 56,134 and 122,828 is: 268,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,134 : 122,828 = 122,828 : x
  2. Step 2: Convert to fraction form
    56,134/122,828 = 122,828/x
  3. Step 3: Cross multiply
    56,134x = 122,828 × 122,828
  4. Step 4: Simplify right side
    56,134x = 15,086,717,584
  5. Step 5: Solve for x
    x = 15,086,717,584/56,134
  6. Step 6: Final answer
    x = 268,762.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.