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Finding the Third Proportional to 45,414 and 96,237

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Solution

The third proportional to 45,414 and 96,237 is: 203,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414 : 96,237 = 96,237 : x
  2. Step 2: Convert to fraction form
    45,414/96,237 = 96,237/x
  3. Step 3: Cross multiply
    45,414x = 96,237 × 96,237
  4. Step 4: Simplify right side
    45,414x = 9,261,560,169
  5. Step 5: Solve for x
    x = 9,261,560,169/45,414
  6. Step 6: Final answer
    x = 203,936.23

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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.