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Finding the Third Proportional to 103,509.75 and 221,775

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Solution

The third proportional to 103,509.75 and 221,775 is: 475,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,509.75 : 221,775 = 221,775 : x
  2. Step 2: Convert to fraction form
    103,509.75/221,775 = 221,775/x
  3. Step 3: Cross multiply
    103,509.75x = 221,775 × 221,775
  4. Step 4: Simplify right side
    103,509.75x = 49,184,150,625
  5. Step 5: Solve for x
    x = 49,184,150,625/103,509.75
  6. Step 6: Final answer
    x = 475,164.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.