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Finding the Third Proportional to 70,193 and 114,606

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Solution

The third proportional to 70,193 and 114,606 is: 187,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,193 : 114,606 = 114,606 : x
  2. Step 2: Convert to fraction form
    70,193/114,606 = 114,606/x
  3. Step 3: Cross multiply
    70,193x = 114,606 × 114,606
  4. Step 4: Simplify right side
    70,193x = 13,134,535,236
  5. Step 5: Solve for x
    x = 13,134,535,236/70,193
  6. Step 6: Final answer
    x = 187,120.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.