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Finding the Third Proportional to 56,329 and 114,212

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Solution

The third proportional to 56,329 and 114,212 is: 231,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,329 : 114,212 = 114,212 : x
  2. Step 2: Convert to fraction form
    56,329/114,212 = 114,212/x
  3. Step 3: Cross multiply
    56,329x = 114,212 × 114,212
  4. Step 4: Simplify right side
    56,329x = 13,044,380,944
  5. Step 5: Solve for x
    x = 13,044,380,944/56,329
  6. Step 6: Final answer
    x = 231,574.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.