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Finding the Third Proportional to 52,180.45 and 78,754.15

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Solution

The third proportional to 52,180.45 and 78,754.15 is: 118,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180.45 : 78,754.15 = 78,754.15 : x
  2. Step 2: Convert to fraction form
    52,180.45/78,754.15 = 78,754.15/x
  3. Step 3: Cross multiply
    52,180.45x = 78,754.15 × 78,754.15
  4. Step 4: Simplify right side
    52,180.45x = 6,202,215,896.12
  5. Step 5: Solve for x
    x = 6,202,215,896.12/52,180.45
  6. Step 6: Final answer
    x = 118,860.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.