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Finding the Third Proportional to 45,227 and 98,014

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Solution

The third proportional to 45,227 and 98,014 is: 212,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,227 : 98,014 = 98,014 : x
  2. Step 2: Convert to fraction form
    45,227/98,014 = 98,014/x
  3. Step 3: Cross multiply
    45,227x = 98,014 × 98,014
  4. Step 4: Simplify right side
    45,227x = 9,606,744,196
  5. Step 5: Solve for x
    x = 9,606,744,196/45,227
  6. Step 6: Final answer
    x = 212,411.71

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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.