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Finding the Third Proportional to 45,227 and 98,237

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Solution

The third proportional to 45,227 and 98,237 is: 213,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,227 : 98,237 = 98,237 : x
  2. Step 2: Convert to fraction form
    45,227/98,237 = 98,237/x
  3. Step 3: Cross multiply
    45,227x = 98,237 × 98,237
  4. Step 4: Simplify right side
    45,227x = 9,650,508,169
  5. Step 5: Solve for x
    x = 9,650,508,169/45,227
  6. Step 6: Final answer
    x = 213,379.36

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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.