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Finding the Third Proportional to 52,039.13 and 78,424.31

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Solution

The third proportional to 52,039.13 and 78,424.31 is: 118,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.13 : 78,424.31 = 78,424.31 : x
  2. Step 2: Convert to fraction form
    52,039.13/78,424.31 = 78,424.31/x
  3. Step 3: Cross multiply
    52,039.13x = 78,424.31 × 78,424.31
  4. Step 4: Simplify right side
    52,039.13x = 6,150,372,791.10
  5. Step 5: Solve for x
    x = 6,150,372,791.10/52,039.13
  6. Step 6: Final answer
    x = 118,187.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.