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Finding the Third Proportional to 103,497.75 and 192,231

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Solution

The third proportional to 103,497.75 and 192,231 is: 357,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,497.75 : 192,231 = 192,231 : x
  2. Step 2: Convert to fraction form
    103,497.75/192,231 = 192,231/x
  3. Step 3: Cross multiply
    103,497.75x = 192,231 × 192,231
  4. Step 4: Simplify right side
    103,497.75x = 36,952,757,361
  5. Step 5: Solve for x
    x = 36,952,757,361/103,497.75
  6. Step 6: Final answer
    x = 357,039.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.