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Finding the Third Proportional to 132,141 and 275,226

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Solution

The third proportional to 132,141 and 275,226 is: 573,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,141 : 275,226 = 275,226 : x
  2. Step 2: Convert to fraction form
    132,141/275,226 = 275,226/x
  3. Step 3: Cross multiply
    132,141x = 275,226 × 275,226
  4. Step 4: Simplify right side
    132,141x = 75,749,351,076
  5. Step 5: Solve for x
    x = 75,749,351,076/132,141
  6. Step 6: Final answer
    x = 573,246.39

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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.