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Finding the Third Proportional to 42,310 and 90,451

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Solution

The third proportional to 42,310 and 90,451 is: 193,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,310 : 90,451 = 90,451 : x
  2. Step 2: Convert to fraction form
    42,310/90,451 = 90,451/x
  3. Step 3: Cross multiply
    42,310x = 90,451 × 90,451
  4. Step 4: Simplify right side
    42,310x = 8,181,383,401
  5. Step 5: Solve for x
    x = 8,181,383,401/42,310
  6. Step 6: Final answer
    x = 193,367.61

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