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Finding the Third Proportional to 45,951 and 93,843

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Solution

The third proportional to 45,951 and 93,843 is: 191,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,951 : 93,843 = 93,843 : x
  2. Step 2: Convert to fraction form
    45,951/93,843 = 93,843/x
  3. Step 3: Cross multiply
    45,951x = 93,843 × 93,843
  4. Step 4: Simplify right side
    45,951x = 8,806,508,649
  5. Step 5: Solve for x
    x = 8,806,508,649/45,951
  6. Step 6: Final answer
    x = 191,649.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.