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Finding the Third Proportional to 51,659 and 79,018.50

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Solution

The third proportional to 51,659 and 79,018.50 is: 120,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659 : 79,018.50 = 79,018.50 : x
  2. Step 2: Convert to fraction form
    51,659/79,018.50 = 79,018.50/x
  3. Step 3: Cross multiply
    51,659x = 79,018.50 × 79,018.50
  4. Step 4: Simplify right side
    51,659x = 6,243,923,342.25
  5. Step 5: Solve for x
    x = 6,243,923,342.25/51,659
  6. Step 6: Final answer
    x = 120,868.06

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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.