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Finding the Third Proportional to 96,924.75 and 141,628.13

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Solution

The third proportional to 96,924.75 and 141,628.13 is: 206,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,924.75 : 141,628.13 = 141,628.13 : x
  2. Step 2: Convert to fraction form
    96,924.75/141,628.13 = 141,628.13/x
  3. Step 3: Cross multiply
    96,924.75x = 141,628.13 × 141,628.13
  4. Step 4: Simplify right side
    96,924.75x = 20,058,525,791.02
  5. Step 5: Solve for x
    x = 20,058,525,791.02/96,924.75
  6. Step 6: Final answer
    x = 206,949.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.