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Finding the Third Proportional to 55,836 and 78,104.25

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Solution

The third proportional to 55,836 and 78,104.25 is: 109,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836 : 78,104.25 = 78,104.25 : x
  2. Step 2: Convert to fraction form
    55,836/78,104.25 = 78,104.25/x
  3. Step 3: Cross multiply
    55,836x = 78,104.25 × 78,104.25
  4. Step 4: Simplify right side
    55,836x = 6,100,273,868.06
  5. Step 5: Solve for x
    x = 6,100,273,868.06/55,836
  6. Step 6: Final answer
    x = 109,253.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.