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Finding the Third Proportional to 102,600 and 221,004

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Solution

The third proportional to 102,600 and 221,004 is: 476,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 221,004 = 221,004 : x
  2. Step 2: Convert to fraction form
    102,600/221,004 = 221,004/x
  3. Step 3: Cross multiply
    102,600x = 221,004 × 221,004
  4. Step 4: Simplify right side
    102,600x = 48,842,768,016
  5. Step 5: Solve for x
    x = 48,842,768,016/102,600
  6. Step 6: Final answer
    x = 476,050.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.