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Finding the Third Proportional to 103,929.75 and 167,369.63

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Solution

The third proportional to 103,929.75 and 167,369.63 is: 269,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,929.75 : 167,369.63 = 167,369.63 : x
  2. Step 2: Convert to fraction form
    103,929.75/167,369.63 = 167,369.63/x
  3. Step 3: Cross multiply
    103,929.75x = 167,369.63 × 167,369.63
  4. Step 4: Simplify right side
    103,929.75x = 28,012,591,372.64
  5. Step 5: Solve for x
    x = 28,012,591,372.64/103,929.75
  6. Step 6: Final answer
    x = 269,533.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.