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Finding the Third Proportional to 119,766 and 254,134

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Solution

The third proportional to 119,766 and 254,134 is: 539,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,766 : 254,134 = 254,134 : x
  2. Step 2: Convert to fraction form
    119,766/254,134 = 254,134/x
  3. Step 3: Cross multiply
    119,766x = 254,134 × 254,134
  4. Step 4: Simplify right side
    119,766x = 64,584,089,956
  5. Step 5: Solve for x
    x = 64,584,089,956/119,766
  6. Step 6: Final answer
    x = 539,252.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.