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Finding the Third Proportional to 96,432 and 132,768

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Solution

The third proportional to 96,432 and 132,768 is: 182,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,432 : 132,768 = 132,768 : x
  2. Step 2: Convert to fraction form
    96,432/132,768 = 132,768/x
  3. Step 3: Cross multiply
    96,432x = 132,768 × 132,768
  4. Step 4: Simplify right side
    96,432x = 17,627,341,824
  5. Step 5: Solve for x
    x = 17,627,341,824/96,432
  6. Step 6: Final answer
    x = 182,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.