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Finding the Third Proportional to 132,138 and 204,038

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Solution

The third proportional to 132,138 and 204,038 is: 315,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,138 : 204,038 = 204,038 : x
  2. Step 2: Convert to fraction form
    132,138/204,038 = 204,038/x
  3. Step 3: Cross multiply
    132,138x = 204,038 × 204,038
  4. Step 4: Simplify right side
    132,138x = 41,631,505,444
  5. Step 5: Solve for x
    x = 41,631,505,444/132,138
  6. Step 6: Final answer
    x = 315,060.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.