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Finding the Third Proportional to 131,980 and 188,047

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Solution

The third proportional to 131,980 and 188,047 is: 267,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,980 : 188,047 = 188,047 : x
  2. Step 2: Convert to fraction form
    131,980/188,047 = 188,047/x
  3. Step 3: Cross multiply
    131,980x = 188,047 × 188,047
  4. Step 4: Simplify right side
    131,980x = 35,361,674,209
  5. Step 5: Solve for x
    x = 35,361,674,209/131,980
  6. Step 6: Final answer
    x = 267,932.07

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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.