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Finding the Third Proportional to 51,997.50 and 121,317.75

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Solution

The third proportional to 51,997.50 and 121,317.75 is: 283,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.50 : 121,317.75 = 121,317.75 : x
  2. Step 2: Convert to fraction form
    51,997.50/121,317.75 = 121,317.75/x
  3. Step 3: Cross multiply
    51,997.50x = 121,317.75 × 121,317.75
  4. Step 4: Simplify right side
    51,997.50x = 14,717,996,465.06
  5. Step 5: Solve for x
    x = 14,717,996,465.06/51,997.50
  6. Step 6: Final answer
    x = 283,052.00

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.