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Finding the Third Proportional to 104,058 and 221,074

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Solution

The third proportional to 104,058 and 221,074 is: 469,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,058 : 221,074 = 221,074 : x
  2. Step 2: Convert to fraction form
    104,058/221,074 = 221,074/x
  3. Step 3: Cross multiply
    104,058x = 221,074 × 221,074
  4. Step 4: Simplify right side
    104,058x = 48,873,713,476
  5. Step 5: Solve for x
    x = 48,873,713,476/104,058
  6. Step 6: Final answer
    x = 469,677.62

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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.