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Finding the Third Proportional to 55,356.75 and 78,007.25

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Solution

The third proportional to 55,356.75 and 78,007.25 is: 109,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,356.75 : 78,007.25 = 78,007.25 : x
  2. Step 2: Convert to fraction form
    55,356.75/78,007.25 = 78,007.25/x
  3. Step 3: Cross multiply
    55,356.75x = 78,007.25 × 78,007.25
  4. Step 4: Simplify right side
    55,356.75x = 6,085,131,052.56
  5. Step 5: Solve for x
    x = 6,085,131,052.56/55,356.75
  6. Step 6: Final answer
    x = 109,925.73

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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.