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Finding the Third Proportional to 88,320 and 132,144

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Solution

The third proportional to 88,320 and 132,144 is: 197,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,320 : 132,144 = 132,144 : x
  2. Step 2: Convert to fraction form
    88,320/132,144 = 132,144/x
  3. Step 3: Cross multiply
    88,320x = 132,144 × 132,144
  4. Step 4: Simplify right side
    88,320x = 17,462,036,736
  5. Step 5: Solve for x
    x = 17,462,036,736/88,320
  6. Step 6: Final answer
    x = 197,713.28

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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.