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Finding the Third Proportional to 41,424 and 88,653

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Solution

The third proportional to 41,424 and 88,653 is: 189,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424 : 88,653 = 88,653 : x
  2. Step 2: Convert to fraction form
    41,424/88,653 = 88,653/x
  3. Step 3: Cross multiply
    41,424x = 88,653 × 88,653
  4. Step 4: Simplify right side
    41,424x = 7,859,354,409
  5. Step 5: Solve for x
    x = 7,859,354,409/41,424
  6. Step 6: Final answer
    x = 189,729.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.