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Finding the Third Proportional to 45,225 and 98,231

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Solution

The third proportional to 45,225 and 98,231 is: 213,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,225 : 98,231 = 98,231 : x
  2. Step 2: Convert to fraction form
    45,225/98,231 = 98,231/x
  3. Step 3: Cross multiply
    45,225x = 98,231 × 98,231
  4. Step 4: Simplify right side
    45,225x = 9,649,329,361
  5. Step 5: Solve for x
    x = 9,649,329,361/45,225
  6. Step 6: Final answer
    x = 213,362.73

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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.