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Finding the Third Proportional to 42,550 and 90,481

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Solution

The third proportional to 42,550 and 90,481 is: 192,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,550 : 90,481 = 90,481 : x
  2. Step 2: Convert to fraction form
    42,550/90,481 = 90,481/x
  3. Step 3: Cross multiply
    42,550x = 90,481 × 90,481
  4. Step 4: Simplify right side
    42,550x = 8,186,811,361
  5. Step 5: Solve for x
    x = 8,186,811,361/42,550
  6. Step 6: Final answer
    x = 192,404.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.