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Finding the Third Proportional to 96,827.75 and 132,006.25

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Solution

The third proportional to 96,827.75 and 132,006.25 is: 179,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,827.75 : 132,006.25 = 132,006.25 : x
  2. Step 2: Convert to fraction form
    96,827.75/132,006.25 = 132,006.25/x
  3. Step 3: Cross multiply
    96,827.75x = 132,006.25 × 132,006.25
  4. Step 4: Simplify right side
    96,827.75x = 17,425,650,039.06
  5. Step 5: Solve for x
    x = 17,425,650,039.06/96,827.75
  6. Step 6: Final answer
    x = 179,965.45

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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.