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Finding the Third Proportional to 94,034.25 and 145,665

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Solution

The third proportional to 94,034.25 and 145,665 is: 225,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,034.25 : 145,665 = 145,665 : x
  2. Step 2: Convert to fraction form
    94,034.25/145,665 = 145,665/x
  3. Step 3: Cross multiply
    94,034.25x = 145,665 × 145,665
  4. Step 4: Simplify right side
    94,034.25x = 21,218,292,225
  5. Step 5: Solve for x
    x = 21,218,292,225/94,034.25
  6. Step 6: Final answer
    x = 225,644.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.