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Finding the Third Proportional to 141,784 and 192,636

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Solution

The third proportional to 141,784 and 192,636 is: 261,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,784 : 192,636 = 192,636 : x
  2. Step 2: Convert to fraction form
    141,784/192,636 = 192,636/x
  3. Step 3: Cross multiply
    141,784x = 192,636 × 192,636
  4. Step 4: Simplify right side
    141,784x = 37,108,628,496
  5. Step 5: Solve for x
    x = 37,108,628,496/141,784
  6. Step 6: Final answer
    x = 261,726.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.