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Finding the Third Proportional to 87,402 and 131,055

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Solution

The third proportional to 87,402 and 131,055 is: 196,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,402 : 131,055 = 131,055 : x
  2. Step 2: Convert to fraction form
    87,402/131,055 = 131,055/x
  3. Step 3: Cross multiply
    87,402x = 131,055 × 131,055
  4. Step 4: Simplify right side
    87,402x = 17,175,413,025
  5. Step 5: Solve for x
    x = 17,175,413,025/87,402
  6. Step 6: Final answer
    x = 196,510.53

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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.