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Finding the Third Proportional to 45,389 and 104,184

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Solution

The third proportional to 45,389 and 104,184 is: 239,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,389 : 104,184 = 104,184 : x
  2. Step 2: Convert to fraction form
    45,389/104,184 = 104,184/x
  3. Step 3: Cross multiply
    45,389x = 104,184 × 104,184
  4. Step 4: Simplify right side
    45,389x = 10,854,305,856
  5. Step 5: Solve for x
    x = 10,854,305,856/45,389
  6. Step 6: Final answer
    x = 239,139.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.