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Finding the Third Proportional to 119,954 and 258,070

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Solution

The third proportional to 119,954 and 258,070 is: 555,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,954 : 258,070 = 258,070 : x
  2. Step 2: Convert to fraction form
    119,954/258,070 = 258,070/x
  3. Step 3: Cross multiply
    119,954x = 258,070 × 258,070
  4. Step 4: Simplify right side
    119,954x = 66,600,124,900
  5. Step 5: Solve for x
    x = 66,600,124,900/119,954
  6. Step 6: Final answer
    x = 555,213.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.