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Finding the Third Proportional to 55,201 and 119,138

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Solution

The third proportional to 55,201 and 119,138 is: 257,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201 : 119,138 = 119,138 : x
  2. Step 2: Convert to fraction form
    55,201/119,138 = 119,138/x
  3. Step 3: Cross multiply
    55,201x = 119,138 × 119,138
  4. Step 4: Simplify right side
    55,201x = 14,193,863,044
  5. Step 5: Solve for x
    x = 14,193,863,044/55,201
  6. Step 6: Final answer
    x = 257,130.54

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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.