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Finding the Third Proportional to 92,872 and 140,172

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Solution

The third proportional to 92,872 and 140,172 is: 211,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,872 : 140,172 = 140,172 : x
  2. Step 2: Convert to fraction form
    92,872/140,172 = 140,172/x
  3. Step 3: Cross multiply
    92,872x = 140,172 × 140,172
  4. Step 4: Simplify right side
    92,872x = 19,648,189,584
  5. Step 5: Solve for x
    x = 19,648,189,584/92,872
  6. Step 6: Final answer
    x = 211,562.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.