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Finding the Third Proportional to 51,465.38 and 78,686.44

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Solution

The third proportional to 51,465.38 and 78,686.44 is: 120,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,465.38 : 78,686.44 = 78,686.44 : x
  2. Step 2: Convert to fraction form
    51,465.38/78,686.44 = 78,686.44/x
  3. Step 3: Cross multiply
    51,465.38x = 78,686.44 × 78,686.44
  4. Step 4: Simplify right side
    51,465.38x = 6,191,555,446.44
  5. Step 5: Solve for x
    x = 6,191,555,446.44/51,465.38
  6. Step 6: Final answer
    x = 120,305.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.