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Finding the Third Proportional to 88,387 and 192,143

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Solution

The third proportional to 88,387 and 192,143 is: 417,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,387 : 192,143 = 192,143 : x
  2. Step 2: Convert to fraction form
    88,387/192,143 = 192,143/x
  3. Step 3: Cross multiply
    88,387x = 192,143 × 192,143
  4. Step 4: Simplify right side
    88,387x = 36,918,932,449
  5. Step 5: Solve for x
    x = 36,918,932,449/88,387
  6. Step 6: Final answer
    x = 417,696.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.