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Finding the Third Proportional to 45,225 and 98,481

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Solution

The third proportional to 45,225 and 98,481 is: 214,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,225 : 98,481 = 98,481 : x
  2. Step 2: Convert to fraction form
    45,225/98,481 = 98,481/x
  3. Step 3: Cross multiply
    45,225x = 98,481 × 98,481
  4. Step 4: Simplify right side
    45,225x = 9,698,507,361
  5. Step 5: Solve for x
    x = 9,698,507,361/45,225
  6. Step 6: Final answer
    x = 214,450.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.