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Finding the Third Proportional to 45,256 and 98,540

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Solution

The third proportional to 45,256 and 98,540 is: 214,560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,256 : 98,540 = 98,540 : x
  2. Step 2: Convert to fraction form
    45,256/98,540 = 98,540/x
  3. Step 3: Cross multiply
    45,256x = 98,540 × 98,540
  4. Step 4: Simplify right side
    45,256x = 9,710,131,600
  5. Step 5: Solve for x
    x = 9,710,131,600/45,256
  6. Step 6: Final answer
    x = 214,560.09

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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.