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Finding the Third Proportional to 111,919.50 and 173,553

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Solution

The third proportional to 111,919.50 and 173,553 is: 269,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919.50 : 173,553 = 173,553 : x
  2. Step 2: Convert to fraction form
    111,919.50/173,553 = 173,553/x
  3. Step 3: Cross multiply
    111,919.50x = 173,553 × 173,553
  4. Step 4: Simplify right side
    111,919.50x = 30,120,643,809
  5. Step 5: Solve for x
    x = 30,120,643,809/111,919.50
  6. Step 6: Final answer
    x = 269,127.76

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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.