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Finding the Third Proportional to 42,604.88 and 92,262.94

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Solution

The third proportional to 42,604.88 and 92,262.94 is: 199,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,604.88 : 92,262.94 = 92,262.94 : x
  2. Step 2: Convert to fraction form
    42,604.88/92,262.94 = 92,262.94/x
  3. Step 3: Cross multiply
    42,604.88x = 92,262.94 × 92,262.94
  4. Step 4: Simplify right side
    42,604.88x = 8,512,449,636.13
  5. Step 5: Solve for x
    x = 8,512,449,636.13/42,604.88
  6. Step 6: Final answer
    x = 199,799.90

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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.