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Finding the Third Proportional to 42,012 and 90,396

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Solution

The third proportional to 42,012 and 90,396 is: 194,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012 : 90,396 = 90,396 : x
  2. Step 2: Convert to fraction form
    42,012/90,396 = 90,396/x
  3. Step 3: Cross multiply
    42,012x = 90,396 × 90,396
  4. Step 4: Simplify right side
    42,012x = 8,171,436,816
  5. Step 5: Solve for x
    x = 8,171,436,816/42,012
  6. Step 6: Final answer
    x = 194,502.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.