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Finding the Third Proportional to 125,241 and 254,855

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Solution

The third proportional to 125,241 and 254,855 is: 518,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,241 : 254,855 = 254,855 : x
  2. Step 2: Convert to fraction form
    125,241/254,855 = 254,855/x
  3. Step 3: Cross multiply
    125,241x = 254,855 × 254,855
  4. Step 4: Simplify right side
    125,241x = 64,951,071,025
  5. Step 5: Solve for x
    x = 64,951,071,025/125,241
  6. Step 6: Final answer
    x = 518,608.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.