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Finding the Third Proportional to 104,049 and 221,058

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Solution

The third proportional to 104,049 and 221,058 is: 469,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,049 : 221,058 = 221,058 : x
  2. Step 2: Convert to fraction form
    104,049/221,058 = 221,058/x
  3. Step 3: Cross multiply
    104,049x = 221,058 × 221,058
  4. Step 4: Simplify right side
    104,049x = 48,866,639,364
  5. Step 5: Solve for x
    x = 48,866,639,364/104,049
  6. Step 6: Final answer
    x = 469,650.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.