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Finding the Third Proportional to 43,315 and 94,028

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Solution

The third proportional to 43,315 and 94,028 is: 204,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,315 : 94,028 = 94,028 : x
  2. Step 2: Convert to fraction form
    43,315/94,028 = 94,028/x
  3. Step 3: Cross multiply
    43,315x = 94,028 × 94,028
  4. Step 4: Simplify right side
    43,315x = 8,841,264,784
  5. Step 5: Solve for x
    x = 8,841,264,784/43,315
  6. Step 6: Final answer
    x = 204,115.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.