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Finding the Third Proportional to 89,991 and 134,257.50

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Solution

The third proportional to 89,991 and 134,257.50 is: 200,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,991 : 134,257.50 = 134,257.50 : x
  2. Step 2: Convert to fraction form
    89,991/134,257.50 = 134,257.50/x
  3. Step 3: Cross multiply
    89,991x = 134,257.50 × 134,257.50
  4. Step 4: Simplify right side
    89,991x = 18,025,076,306.25
  5. Step 5: Solve for x
    x = 18,025,076,306.25/89,991
  6. Step 6: Final answer
    x = 200,298.66

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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.