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Finding the Third Proportional to 89,424 and 192,780

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Solution

The third proportional to 89,424 and 192,780 is: 415,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,424 : 192,780 = 192,780 : x
  2. Step 2: Convert to fraction form
    89,424/192,780 = 192,780/x
  3. Step 3: Cross multiply
    89,424x = 192,780 × 192,780
  4. Step 4: Simplify right side
    89,424x = 37,164,128,400
  5. Step 5: Solve for x
    x = 37,164,128,400/89,424
  6. Step 6: Final answer
    x = 415,594.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.