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Finding the Third Proportional to 45,029 and 104,243

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Solution

The third proportional to 45,029 and 104,243 is: 241,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,029 : 104,243 = 104,243 : x
  2. Step 2: Convert to fraction form
    45,029/104,243 = 104,243/x
  3. Step 3: Cross multiply
    45,029x = 104,243 × 104,243
  4. Step 4: Simplify right side
    45,029x = 10,866,603,049
  5. Step 5: Solve for x
    x = 10,866,603,049/45,029
  6. Step 6: Final answer
    x = 241,324.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.