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Finding the Third Proportional to 146,701.97 and 193,757.06

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Solution

The third proportional to 146,701.97 and 193,757.06 is: 255,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,701.97 : 193,757.06 = 193,757.06 : x
  2. Step 2: Convert to fraction form
    146,701.97/193,757.06 = 193,757.06/x
  3. Step 3: Cross multiply
    146,701.97x = 193,757.06 × 193,757.06
  4. Step 4: Simplify right side
    146,701.97x = 37,541,799,268.63
  5. Step 5: Solve for x
    x = 37,541,799,268.63/146,701.97
  6. Step 6: Final answer
    x = 255,905.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.