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Finding the Third Proportional to 104,393 and 158,665

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Solution

The third proportional to 104,393 and 158,665 is: 241,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,393 : 158,665 = 158,665 : x
  2. Step 2: Convert to fraction form
    104,393/158,665 = 158,665/x
  3. Step 3: Cross multiply
    104,393x = 158,665 × 158,665
  4. Step 4: Simplify right side
    104,393x = 25,174,582,225
  5. Step 5: Solve for x
    x = 25,174,582,225/104,393
  6. Step 6: Final answer
    x = 241,152.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.