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Finding the Third Proportional to 132,153 and 192,672

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Solution

The third proportional to 132,153 and 192,672 is: 280,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,153 : 192,672 = 192,672 : x
  2. Step 2: Convert to fraction form
    132,153/192,672 = 192,672/x
  3. Step 3: Cross multiply
    132,153x = 192,672 × 192,672
  4. Step 4: Simplify right side
    132,153x = 37,122,499,584
  5. Step 5: Solve for x
    x = 37,122,499,584/132,153
  6. Step 6: Final answer
    x = 280,905.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.