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Finding the Third Proportional to 105,685.88 and 163,449.56

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Solution

The third proportional to 105,685.88 and 163,449.56 is: 252,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,685.88 : 163,449.56 = 163,449.56 : x
  2. Step 2: Convert to fraction form
    105,685.88/163,449.56 = 163,449.56/x
  3. Step 3: Cross multiply
    105,685.88x = 163,449.56 × 163,449.56
  4. Step 4: Simplify right side
    105,685.88x = 26,715,759,481.44
  5. Step 5: Solve for x
    x = 26,715,759,481.44/105,685.88
  6. Step 6: Final answer
    x = 252,784.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.