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Finding the Third Proportional to 73,813.50 and 114,609

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Solution

The third proportional to 73,813.50 and 114,609 is: 177,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.50 : 114,609 = 114,609 : x
  2. Step 2: Convert to fraction form
    73,813.50/114,609 = 114,609/x
  3. Step 3: Cross multiply
    73,813.50x = 114,609 × 114,609
  4. Step 4: Simplify right side
    73,813.50x = 13,135,222,881
  5. Step 5: Solve for x
    x = 13,135,222,881/73,813.50
  6. Step 6: Final answer
    x = 177,951.50

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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.