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Finding the Third Proportional to 55,206 and 119,157

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Solution

The third proportional to 55,206 and 119,157 is: 257,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206 : 119,157 = 119,157 : x
  2. Step 2: Convert to fraction form
    55,206/119,157 = 119,157/x
  3. Step 3: Cross multiply
    55,206x = 119,157 × 119,157
  4. Step 4: Simplify right side
    55,206x = 14,198,390,649
  5. Step 5: Solve for x
    x = 14,198,390,649/55,206
  6. Step 6: Final answer
    x = 257,189.27

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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.