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Finding the Third Proportional to 45,329 and 98,191

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Solution

The third proportional to 45,329 and 98,191 is: 212,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,329 : 98,191 = 98,191 : x
  2. Step 2: Convert to fraction form
    45,329/98,191 = 98,191/x
  3. Step 3: Cross multiply
    45,329x = 98,191 × 98,191
  4. Step 4: Simplify right side
    45,329x = 9,641,472,481
  5. Step 5: Solve for x
    x = 9,641,472,481/45,329
  6. Step 6: Final answer
    x = 212,699.87

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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.