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Finding the Third Proportional to 80,964 and 189,102

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Solution

The third proportional to 80,964 and 189,102 is: 441,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,964 : 189,102 = 189,102 : x
  2. Step 2: Convert to fraction form
    80,964/189,102 = 189,102/x
  3. Step 3: Cross multiply
    80,964x = 189,102 × 189,102
  4. Step 4: Simplify right side
    80,964x = 35,759,566,404
  5. Step 5: Solve for x
    x = 35,759,566,404/80,964
  6. Step 6: Final answer
    x = 441,672.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.