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Finding the Third Proportional to 57,206 and 119,146

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Solution

The third proportional to 57,206 and 119,146 is: 248,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206 : 119,146 = 119,146 : x
  2. Step 2: Convert to fraction form
    57,206/119,146 = 119,146/x
  3. Step 3: Cross multiply
    57,206x = 119,146 × 119,146
  4. Step 4: Simplify right side
    57,206x = 14,195,769,316
  5. Step 5: Solve for x
    x = 14,195,769,316/57,206
  6. Step 6: Final answer
    x = 248,151.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.