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Finding the Third Proportional to 141,837 and 189,255

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Solution

The third proportional to 141,837 and 189,255 is: 252,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,837 : 189,255 = 189,255 : x
  2. Step 2: Convert to fraction form
    141,837/189,255 = 189,255/x
  3. Step 3: Cross multiply
    141,837x = 189,255 × 189,255
  4. Step 4: Simplify right side
    141,837x = 35,817,455,025
  5. Step 5: Solve for x
    x = 35,817,455,025/141,837
  6. Step 6: Final answer
    x = 252,525.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.