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Finding the Third Proportional to 51,951.38 and 80,600.06

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Solution

The third proportional to 51,951.38 and 80,600.06 is: 125,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.38 : 80,600.06 = 80,600.06 : x
  2. Step 2: Convert to fraction form
    51,951.38/80,600.06 = 80,600.06/x
  3. Step 3: Cross multiply
    51,951.38x = 80,600.06 × 80,600.06
  4. Step 4: Simplify right side
    51,951.38x = 6,496,370,075.00
  5. Step 5: Solve for x
    x = 6,496,370,075.00/51,951.38
  6. Step 6: Final answer
    x = 125,047.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.