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Finding the Third Proportional to 138,210 and 195,732

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Solution

The third proportional to 138,210 and 195,732 is: 277,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,210 : 195,732 = 195,732 : x
  2. Step 2: Convert to fraction form
    138,210/195,732 = 195,732/x
  3. Step 3: Cross multiply
    138,210x = 195,732 × 195,732
  4. Step 4: Simplify right side
    138,210x = 38,311,015,824
  5. Step 5: Solve for x
    x = 38,311,015,824/138,210
  6. Step 6: Final answer
    x = 277,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.