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Finding the Third Proportional to 90,588 and 192,138

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Solution

The third proportional to 90,588 and 192,138 is: 407,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,588 : 192,138 = 192,138 : x
  2. Step 2: Convert to fraction form
    90,588/192,138 = 192,138/x
  3. Step 3: Cross multiply
    90,588x = 192,138 × 192,138
  4. Step 4: Simplify right side
    90,588x = 36,917,011,044
  5. Step 5: Solve for x
    x = 36,917,011,044/90,588
  6. Step 6: Final answer
    x = 407,526.51

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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.