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Finding the Third Proportional to 70,956 and 151,434

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Solution

The third proportional to 70,956 and 151,434 is: 323,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,956 : 151,434 = 151,434 : x
  2. Step 2: Convert to fraction form
    70,956/151,434 = 151,434/x
  3. Step 3: Cross multiply
    70,956x = 151,434 × 151,434
  4. Step 4: Simplify right side
    70,956x = 22,932,256,356
  5. Step 5: Solve for x
    x = 22,932,256,356/70,956
  6. Step 6: Final answer
    x = 323,189.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.