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Finding the Third Proportional to 55,471 and 119,690

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Solution

The third proportional to 55,471 and 119,690 is: 258,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,471 : 119,690 = 119,690 : x
  2. Step 2: Convert to fraction form
    55,471/119,690 = 119,690/x
  3. Step 3: Cross multiply
    55,471x = 119,690 × 119,690
  4. Step 4: Simplify right side
    55,471x = 14,325,696,100
  5. Step 5: Solve for x
    x = 14,325,696,100/55,471
  6. Step 6: Final answer
    x = 258,255.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.