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Finding the Third Proportional to 138,132 and 194,972

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Solution

The third proportional to 138,132 and 194,972 is: 275,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,132 : 194,972 = 194,972 : x
  2. Step 2: Convert to fraction form
    138,132/194,972 = 194,972/x
  3. Step 3: Cross multiply
    138,132x = 194,972 × 194,972
  4. Step 4: Simplify right side
    138,132x = 38,014,080,784
  5. Step 5: Solve for x
    x = 38,014,080,784/138,132
  6. Step 6: Final answer
    x = 275,201.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.