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Finding the Third Proportional to 89,451 and 133,717.50

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Solution

The third proportional to 89,451 and 133,717.50 is: 199,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,451 : 133,717.50 = 133,717.50 : x
  2. Step 2: Convert to fraction form
    89,451/133,717.50 = 133,717.50/x
  3. Step 3: Cross multiply
    89,451x = 133,717.50 × 133,717.50
  4. Step 4: Simplify right side
    89,451x = 17,880,369,806.25
  5. Step 5: Solve for x
    x = 17,880,369,806.25/89,451
  6. Step 6: Final answer
    x = 199,890.11

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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.