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Finding the Third Proportional to 116,239.50 and 179,616.75

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Solution

The third proportional to 116,239.50 and 179,616.75 is: 277,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,239.50 : 179,616.75 = 179,616.75 : x
  2. Step 2: Convert to fraction form
    116,239.50/179,616.75 = 179,616.75/x
  3. Step 3: Cross multiply
    116,239.50x = 179,616.75 × 179,616.75
  4. Step 4: Simplify right side
    116,239.50x = 32,262,176,880.56
  5. Step 5: Solve for x
    x = 32,262,176,880.56/116,239.50
  6. Step 6: Final answer
    x = 277,549.17

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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.