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Finding the Third Proportional to 45,890 and 97,296

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Solution

The third proportional to 45,890 and 97,296 is: 206,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,890 : 97,296 = 97,296 : x
  2. Step 2: Convert to fraction form
    45,890/97,296 = 97,296/x
  3. Step 3: Cross multiply
    45,890x = 97,296 × 97,296
  4. Step 4: Simplify right side
    45,890x = 9,466,511,616
  5. Step 5: Solve for x
    x = 9,466,511,616/45,890
  6. Step 6: Final answer
    x = 206,287.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.