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Finding the Third Proportional to 89,766.50 and 136,515

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Solution

The third proportional to 89,766.50 and 136,515 is: 207,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,766.50 : 136,515 = 136,515 : x
  2. Step 2: Convert to fraction form
    89,766.50/136,515 = 136,515/x
  3. Step 3: Cross multiply
    89,766.50x = 136,515 × 136,515
  4. Step 4: Simplify right side
    89,766.50x = 18,636,345,225
  5. Step 5: Solve for x
    x = 18,636,345,225/89,766.50
  6. Step 6: Final answer
    x = 207,609.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.