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Finding the Third Proportional to 89,502 and 134,052

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Solution

The third proportional to 89,502 and 134,052 is: 200,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,502 : 134,052 = 134,052 : x
  2. Step 2: Convert to fraction form
    89,502/134,052 = 134,052/x
  3. Step 3: Cross multiply
    89,502x = 134,052 × 134,052
  4. Step 4: Simplify right side
    89,502x = 17,969,938,704
  5. Step 5: Solve for x
    x = 17,969,938,704/89,502
  6. Step 6: Final answer
    x = 200,776.95

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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.