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Finding the Third Proportional to 88,731 and 193,520

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Solution

The third proportional to 88,731 and 193,520 is: 422,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,731 : 193,520 = 193,520 : x
  2. Step 2: Convert to fraction form
    88,731/193,520 = 193,520/x
  3. Step 3: Cross multiply
    88,731x = 193,520 × 193,520
  4. Step 4: Simplify right side
    88,731x = 37,449,990,400
  5. Step 5: Solve for x
    x = 37,449,990,400/88,731
  6. Step 6: Final answer
    x = 422,062.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.