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Finding the Third Proportional to 96,839.75 and 132,024.25

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Solution

The third proportional to 96,839.75 and 132,024.25 is: 179,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,839.75 : 132,024.25 = 132,024.25 : x
  2. Step 2: Convert to fraction form
    96,839.75/132,024.25 = 132,024.25/x
  3. Step 3: Cross multiply
    96,839.75x = 132,024.25 × 132,024.25
  4. Step 4: Simplify right side
    96,839.75x = 17,430,402,588.06
  5. Step 5: Solve for x
    x = 17,430,402,588.06/96,839.75
  6. Step 6: Final answer
    x = 179,992.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.