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Finding the Third Proportional to 89,868 and 134,025

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Solution

The third proportional to 89,868 and 134,025 is: 199,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,868 : 134,025 = 134,025 : x
  2. Step 2: Convert to fraction form
    89,868/134,025 = 134,025/x
  3. Step 3: Cross multiply
    89,868x = 134,025 × 134,025
  4. Step 4: Simplify right side
    89,868x = 17,962,700,625
  5. Step 5: Solve for x
    x = 17,962,700,625/89,868
  6. Step 6: Final answer
    x = 199,878.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.