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Finding the Third Proportional to 54,446 and 85,557.50

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Solution

The third proportional to 54,446 and 85,557.50 is: 134,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,446 : 85,557.50 = 85,557.50 : x
  2. Step 2: Convert to fraction form
    54,446/85,557.50 = 85,557.50/x
  3. Step 3: Cross multiply
    54,446x = 85,557.50 × 85,557.50
  4. Step 4: Simplify right side
    54,446x = 7,320,085,806.25
  5. Step 5: Solve for x
    x = 7,320,085,806.25/54,446
  6. Step 6: Final answer
    x = 134,446.71

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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.