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Finding the Third Proportional to 47,404 and 102,409

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Solution

The third proportional to 47,404 and 102,409 is: 221,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404 : 102,409 = 102,409 : x
  2. Step 2: Convert to fraction form
    47,404/102,409 = 102,409/x
  3. Step 3: Cross multiply
    47,404x = 102,409 × 102,409
  4. Step 4: Simplify right side
    47,404x = 10,487,603,281
  5. Step 5: Solve for x
    x = 10,487,603,281/47,404
  6. Step 6: Final answer
    x = 221,238.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.