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Finding the Third Proportional to 132,772 and 203,206

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Solution

The third proportional to 132,772 and 203,206 is: 311,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,772 : 203,206 = 203,206 : x
  2. Step 2: Convert to fraction form
    132,772/203,206 = 203,206/x
  3. Step 3: Cross multiply
    132,772x = 203,206 × 203,206
  4. Step 4: Simplify right side
    132,772x = 41,292,678,436
  5. Step 5: Solve for x
    x = 41,292,678,436/132,772
  6. Step 6: Final answer
    x = 311,004.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.