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Finding the Third Proportional to 55,208 and 119,152

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Solution

The third proportional to 55,208 and 119,152 is: 257,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,208 : 119,152 = 119,152 : x
  2. Step 2: Convert to fraction form
    55,208/119,152 = 119,152/x
  3. Step 3: Cross multiply
    55,208x = 119,152 × 119,152
  4. Step 4: Simplify right side
    55,208x = 14,197,199,104
  5. Step 5: Solve for x
    x = 14,197,199,104/55,208
  6. Step 6: Final answer
    x = 257,158.37

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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.