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Finding the Third Proportional to 85,843.13 and 133,077.94

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Solution

The third proportional to 85,843.13 and 133,077.94 is: 206,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,843.13 : 133,077.94 = 133,077.94 : x
  2. Step 2: Convert to fraction form
    85,843.13/133,077.94 = 133,077.94/x
  3. Step 3: Cross multiply
    85,843.13x = 133,077.94 × 133,077.94
  4. Step 4: Simplify right side
    85,843.13x = 17,709,737,449.25
  5. Step 5: Solve for x
    x = 17,709,737,449.25/85,843.13
  6. Step 6: Final answer
    x = 206,303.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.