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Finding the Third Proportional to 105,158 and 225,080

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Solution

The third proportional to 105,158 and 225,080 is: 481,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,158 : 225,080 = 225,080 : x
  2. Step 2: Convert to fraction form
    105,158/225,080 = 225,080/x
  3. Step 3: Cross multiply
    105,158x = 225,080 × 225,080
  4. Step 4: Simplify right side
    105,158x = 50,661,006,400
  5. Step 5: Solve for x
    x = 50,661,006,400/105,158
  6. Step 6: Final answer
    x = 481,760.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.