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Finding the Third Proportional to 85,262.50 and 133,756

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Solution

The third proportional to 85,262.50 and 133,756 is: 209,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,262.50 : 133,756 = 133,756 : x
  2. Step 2: Convert to fraction form
    85,262.50/133,756 = 133,756/x
  3. Step 3: Cross multiply
    85,262.50x = 133,756 × 133,756
  4. Step 4: Simplify right side
    85,262.50x = 17,890,667,536
  5. Step 5: Solve for x
    x = 17,890,667,536/85,262.50
  6. Step 6: Final answer
    x = 209,830.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.