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Finding the Third Proportional to 47,329 and 101,225

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Solution

The third proportional to 47,329 and 101,225 is: 216,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,329 : 101,225 = 101,225 : x
  2. Step 2: Convert to fraction form
    47,329/101,225 = 101,225/x
  3. Step 3: Cross multiply
    47,329x = 101,225 × 101,225
  4. Step 4: Simplify right side
    47,329x = 10,246,500,625
  5. Step 5: Solve for x
    x = 10,246,500,625/47,329
  6. Step 6: Final answer
    x = 216,495.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.