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Finding the Third Proportional to 88,745 and 193,042

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Solution

The third proportional to 88,745 and 193,042 is: 419,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,745 : 193,042 = 193,042 : x
  2. Step 2: Convert to fraction form
    88,745/193,042 = 193,042/x
  3. Step 3: Cross multiply
    88,745x = 193,042 × 193,042
  4. Step 4: Simplify right side
    88,745x = 37,265,213,764
  5. Step 5: Solve for x
    x = 37,265,213,764/88,745
  6. Step 6: Final answer
    x = 419,913.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.