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Finding the Third Proportional to 90,592 and 192,146

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Solution

The third proportional to 90,592 and 192,146 is: 407,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,592 : 192,146 = 192,146 : x
  2. Step 2: Convert to fraction form
    90,592/192,146 = 192,146/x
  3. Step 3: Cross multiply
    90,592x = 192,146 × 192,146
  4. Step 4: Simplify right side
    90,592x = 36,920,085,316
  5. Step 5: Solve for x
    x = 36,920,085,316/90,592
  6. Step 6: Final answer
    x = 407,542.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.