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Finding the Third Proportional to 55,202 and 119,147

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Solution

The third proportional to 55,202 and 119,147 is: 257,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202 : 119,147 = 119,147 : x
  2. Step 2: Convert to fraction form
    55,202/119,147 = 119,147/x
  3. Step 3: Cross multiply
    55,202x = 119,147 × 119,147
  4. Step 4: Simplify right side
    55,202x = 14,196,007,609
  5. Step 5: Solve for x
    x = 14,196,007,609/55,202
  6. Step 6: Final answer
    x = 257,164.73

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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.