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Finding the Third Proportional to 89,262 and 126,900

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Solution

The third proportional to 89,262 and 126,900 is: 180,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,262 : 126,900 = 126,900 : x
  2. Step 2: Convert to fraction form
    89,262/126,900 = 126,900/x
  3. Step 3: Cross multiply
    89,262x = 126,900 × 126,900
  4. Step 4: Simplify right side
    89,262x = 16,103,610,000
  5. Step 5: Solve for x
    x = 16,103,610,000/89,262
  6. Step 6: Final answer
    x = 180,408.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.