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Finding the Third Proportional to 88,968 and 193,424

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Solution

The third proportional to 88,968 and 193,424 is: 420,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,968 : 193,424 = 193,424 : x
  2. Step 2: Convert to fraction form
    88,968/193,424 = 193,424/x
  3. Step 3: Cross multiply
    88,968x = 193,424 × 193,424
  4. Step 4: Simplify right side
    88,968x = 37,412,843,776
  5. Step 5: Solve for x
    x = 37,412,843,776/88,968
  6. Step 6: Final answer
    x = 420,520.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.