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Finding the Third Proportional to 103,924.50 and 167,362.50

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Solution

The third proportional to 103,924.50 and 167,362.50 is: 269,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924.50 : 167,362.50 = 167,362.50 : x
  2. Step 2: Convert to fraction form
    103,924.50/167,362.50 = 167,362.50/x
  3. Step 3: Cross multiply
    103,924.50x = 167,362.50 × 167,362.50
  4. Step 4: Simplify right side
    103,924.50x = 28,010,206,406.25
  5. Step 5: Solve for x
    x = 28,010,206,406.25/103,924.50
  6. Step 6: Final answer
    x = 269,524.57

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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.