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Finding the Third Proportional to 55,474.50 and 78,496.13

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Solution

The third proportional to 55,474.50 and 78,496.13 is: 111,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474.50 : 78,496.13 = 78,496.13 : x
  2. Step 2: Convert to fraction form
    55,474.50/78,496.13 = 78,496.13/x
  3. Step 3: Cross multiply
    55,474.50x = 78,496.13 × 78,496.13
  4. Step 4: Simplify right side
    55,474.50x = 6,161,641,640.02
  5. Step 5: Solve for x
    x = 6,161,641,640.02/55,474.50
  6. Step 6: Final answer
    x = 111,071.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.