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Finding the Third Proportional to 45,291 and 98,356

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Solution

The third proportional to 45,291 and 98,356 is: 213,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,291 : 98,356 = 98,356 : x
  2. Step 2: Convert to fraction form
    45,291/98,356 = 98,356/x
  3. Step 3: Cross multiply
    45,291x = 98,356 × 98,356
  4. Step 4: Simplify right side
    45,291x = 9,673,902,736
  5. Step 5: Solve for x
    x = 9,673,902,736/45,291
  6. Step 6: Final answer
    x = 213,594.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.