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Finding the Third Proportional to 92,124 and 192,588

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Solution

The third proportional to 92,124 and 192,588 is: 402,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,124 : 192,588 = 192,588 : x
  2. Step 2: Convert to fraction form
    92,124/192,588 = 192,588/x
  3. Step 3: Cross multiply
    92,124x = 192,588 × 192,588
  4. Step 4: Simplify right side
    92,124x = 37,090,137,744
  5. Step 5: Solve for x
    x = 37,090,137,744/92,124
  6. Step 6: Final answer
    x = 402,611.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.