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Finding the Third Proportional to 132,156 and 275,252

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Solution

The third proportional to 132,156 and 275,252 is: 573,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,156 : 275,252 = 275,252 : x
  2. Step 2: Convert to fraction form
    132,156/275,252 = 275,252/x
  3. Step 3: Cross multiply
    132,156x = 275,252 × 275,252
  4. Step 4: Simplify right side
    132,156x = 75,763,663,504
  5. Step 5: Solve for x
    x = 75,763,663,504/132,156
  6. Step 6: Final answer
    x = 573,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.