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Finding the Third Proportional to 88,308 and 132,824

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Solution

The third proportional to 88,308 and 132,824 is: 199,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,308 : 132,824 = 132,824 : x
  2. Step 2: Convert to fraction form
    88,308/132,824 = 132,824/x
  3. Step 3: Cross multiply
    88,308x = 132,824 × 132,824
  4. Step 4: Simplify right side
    88,308x = 17,642,214,976
  5. Step 5: Solve for x
    x = 17,642,214,976/88,308
  6. Step 6: Final answer
    x = 199,780.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.