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Finding the Third Proportional to 45,833 and 96,278

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Solution

The third proportional to 45,833 and 96,278 is: 202,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,833 : 96,278 = 96,278 : x
  2. Step 2: Convert to fraction form
    45,833/96,278 = 96,278/x
  3. Step 3: Cross multiply
    45,833x = 96,278 × 96,278
  4. Step 4: Simplify right side
    45,833x = 9,269,453,284
  5. Step 5: Solve for x
    x = 9,269,453,284/45,833
  6. Step 6: Final answer
    x = 202,244.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.