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Finding the Third Proportional to 45,664 and 98,131

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Solution

The third proportional to 45,664 and 98,131 is: 210,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,664 : 98,131 = 98,131 : x
  2. Step 2: Convert to fraction form
    45,664/98,131 = 98,131/x
  3. Step 3: Cross multiply
    45,664x = 98,131 × 98,131
  4. Step 4: Simplify right side
    45,664x = 9,629,693,161
  5. Step 5: Solve for x
    x = 9,629,693,161/45,664
  6. Step 6: Final answer
    x = 210,881.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.