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Finding the Third Proportional to 52,329 and 110,217

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Solution

The third proportional to 52,329 and 110,217 is: 232,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,329 : 110,217 = 110,217 : x
  2. Step 2: Convert to fraction form
    52,329/110,217 = 110,217/x
  3. Step 3: Cross multiply
    52,329x = 110,217 × 110,217
  4. Step 4: Simplify right side
    52,329x = 12,147,787,089
  5. Step 5: Solve for x
    x = 12,147,787,089/52,329
  6. Step 6: Final answer
    x = 232,142.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.