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Finding the Third Proportional to 117,015.75 and 192,210.75

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Solution

The third proportional to 117,015.75 and 192,210.75 is: 315,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,015.75 : 192,210.75 = 192,210.75 : x
  2. Step 2: Convert to fraction form
    117,015.75/192,210.75 = 192,210.75/x
  3. Step 3: Cross multiply
    117,015.75x = 192,210.75 × 192,210.75
  4. Step 4: Simplify right side
    117,015.75x = 36,944,972,415.56
  5. Step 5: Solve for x
    x = 36,944,972,415.56/117,015.75
  6. Step 6: Final answer
    x = 315,726.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.