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Finding the Third Proportional to 52,662.38 and 112,736.25

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Solution

The third proportional to 52,662.38 and 112,736.25 is: 241,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,662.38 : 112,736.25 = 112,736.25 : x
  2. Step 2: Convert to fraction form
    52,662.38/112,736.25 = 112,736.25/x
  3. Step 3: Cross multiply
    52,662.38x = 112,736.25 × 112,736.25
  4. Step 4: Simplify right side
    52,662.38x = 12,709,462,064.06
  5. Step 5: Solve for x
    x = 12,709,462,064.06/52,662.38
  6. Step 6: Final answer
    x = 241,338.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.