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Finding the Third Proportional to 114,138.50 and 177,424.50

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Solution

The third proportional to 114,138.50 and 177,424.50 is: 275,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138.50 : 177,424.50 = 177,424.50 : x
  2. Step 2: Convert to fraction form
    114,138.50/177,424.50 = 177,424.50/x
  3. Step 3: Cross multiply
    114,138.50x = 177,424.50 × 177,424.50
  4. Step 4: Simplify right side
    114,138.50x = 31,479,453,200.25
  5. Step 5: Solve for x
    x = 31,479,453,200.25/114,138.50
  6. Step 6: Final answer
    x = 275,800.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.