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Finding the Third Proportional to 89,736 and 195,240

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Solution

The third proportional to 89,736 and 195,240 is: 424,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736 : 195,240 = 195,240 : x
  2. Step 2: Convert to fraction form
    89,736/195,240 = 195,240/x
  3. Step 3: Cross multiply
    89,736x = 195,240 × 195,240
  4. Step 4: Simplify right side
    89,736x = 38,118,657,600
  5. Step 5: Solve for x
    x = 38,118,657,600/89,736
  6. Step 6: Final answer
    x = 424,786.68

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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.