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Finding the Third Proportional to 88,000 and 132,752

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Solution

The third proportional to 88,000 and 132,752 is: 200,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,000 : 132,752 = 132,752 : x
  2. Step 2: Convert to fraction form
    88,000/132,752 = 132,752/x
  3. Step 3: Cross multiply
    88,000x = 132,752 × 132,752
  4. Step 4: Simplify right side
    88,000x = 17,623,093,504
  5. Step 5: Solve for x
    x = 17,623,093,504/88,000
  6. Step 6: Final answer
    x = 200,262.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.