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Finding the Third Proportional to 88,814 and 132,951

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Solution

The third proportional to 88,814 and 132,951 is: 199,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,814 : 132,951 = 132,951 : x
  2. Step 2: Convert to fraction form
    88,814/132,951 = 132,951/x
  3. Step 3: Cross multiply
    88,814x = 132,951 × 132,951
  4. Step 4: Simplify right side
    88,814x = 17,675,968,401
  5. Step 5: Solve for x
    x = 17,675,968,401/88,814
  6. Step 6: Final answer
    x = 199,022.32

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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.