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Finding the Third Proportional to 76,339 and 112,227

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Solution

The third proportional to 76,339 and 112,227 is: 164,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,339 : 112,227 = 112,227 : x
  2. Step 2: Convert to fraction form
    76,339/112,227 = 112,227/x
  3. Step 3: Cross multiply
    76,339x = 112,227 × 112,227
  4. Step 4: Simplify right side
    76,339x = 12,594,899,529
  5. Step 5: Solve for x
    x = 12,594,899,529/76,339
  6. Step 6: Final answer
    x = 164,986.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.