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Finding the Third Proportional to 52,756.31 and 113,926.50

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Solution

The third proportional to 52,756.31 and 113,926.50 is: 246,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756.31 : 113,926.50 = 113,926.50 : x
  2. Step 2: Convert to fraction form
    52,756.31/113,926.50 = 113,926.50/x
  3. Step 3: Cross multiply
    52,756.31x = 113,926.50 × 113,926.50
  4. Step 4: Simplify right side
    52,756.31x = 12,979,247,402.25
  5. Step 5: Solve for x
    x = 12,979,247,402.25/52,756.31
  6. Step 6: Final answer
    x = 246,022.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.