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Finding the Third Proportional to 136,100 and 193,563

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Solution

The third proportional to 136,100 and 193,563 is: 275,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,100 : 193,563 = 193,563 : x
  2. Step 2: Convert to fraction form
    136,100/193,563 = 193,563/x
  3. Step 3: Cross multiply
    136,100x = 193,563 × 193,563
  4. Step 4: Simplify right side
    136,100x = 37,466,634,969
  5. Step 5: Solve for x
    x = 37,466,634,969/136,100
  6. Step 6: Final answer
    x = 275,287.55

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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.