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Finding the Third Proportional to 134,361 and 203,053

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Solution

The third proportional to 134,361 and 203,053 is: 306,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,361 : 203,053 = 203,053 : x
  2. Step 2: Convert to fraction form
    134,361/203,053 = 203,053/x
  3. Step 3: Cross multiply
    134,361x = 203,053 × 203,053
  4. Step 4: Simplify right side
    134,361x = 41,230,520,809
  5. Step 5: Solve for x
    x = 41,230,520,809/134,361
  6. Step 6: Final answer
    x = 306,863.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.