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Finding the Third Proportional to 45,247 and 98,525

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Solution

The third proportional to 45,247 and 98,525 is: 214,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,247 : 98,525 = 98,525 : x
  2. Step 2: Convert to fraction form
    45,247/98,525 = 98,525/x
  3. Step 3: Cross multiply
    45,247x = 98,525 × 98,525
  4. Step 4: Simplify right side
    45,247x = 9,707,175,625
  5. Step 5: Solve for x
    x = 9,707,175,625/45,247
  6. Step 6: Final answer
    x = 214,537.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.