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Finding the Third Proportional to 42,328 and 91,028

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Solution

The third proportional to 42,328 and 91,028 is: 195,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,328 : 91,028 = 91,028 : x
  2. Step 2: Convert to fraction form
    42,328/91,028 = 91,028/x
  3. Step 3: Cross multiply
    42,328x = 91,028 × 91,028
  4. Step 4: Simplify right side
    42,328x = 8,286,096,784
  5. Step 5: Solve for x
    x = 8,286,096,784/42,328
  6. Step 6: Final answer
    x = 195,759.23

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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.