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Finding the Third Proportional to 132,860 and 203,182

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Solution

The third proportional to 132,860 and 203,182 is: 310,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,860 : 203,182 = 203,182 : x
  2. Step 2: Convert to fraction form
    132,860/203,182 = 203,182/x
  3. Step 3: Cross multiply
    132,860x = 203,182 × 203,182
  4. Step 4: Simplify right side
    132,860x = 41,282,925,124
  5. Step 5: Solve for x
    x = 41,282,925,124/132,860
  6. Step 6: Final answer
    x = 310,725.01

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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.