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Finding the Third Proportional to 104,049 and 158,013

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Solution

The third proportional to 104,049 and 158,013 is: 239,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,049 : 158,013 = 158,013 : x
  2. Step 2: Convert to fraction form
    104,049/158,013 = 158,013/x
  3. Step 3: Cross multiply
    104,049x = 158,013 × 158,013
  4. Step 4: Simplify right side
    104,049x = 24,968,108,169
  5. Step 5: Solve for x
    x = 24,968,108,169/104,049
  6. Step 6: Final answer
    x = 239,964.90

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Why These Related Problems?

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