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Finding the Third Proportional to 87,994 and 132,743

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Solution

The third proportional to 87,994 and 132,743 is: 200,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,994 : 132,743 = 132,743 : x
  2. Step 2: Convert to fraction form
    87,994/132,743 = 132,743/x
  3. Step 3: Cross multiply
    87,994x = 132,743 × 132,743
  4. Step 4: Simplify right side
    87,994x = 17,620,704,049
  5. Step 5: Solve for x
    x = 17,620,704,049/87,994
  6. Step 6: Final answer
    x = 200,248.93

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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.