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Finding the Third Proportional to 52,667.25 and 115,187.81

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Solution

The third proportional to 52,667.25 and 115,187.81 is: 251,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,667.25 : 115,187.81 = 115,187.81 : x
  2. Step 2: Convert to fraction form
    52,667.25/115,187.81 = 115,187.81/x
  3. Step 3: Cross multiply
    52,667.25x = 115,187.81 × 115,187.81
  4. Step 4: Simplify right side
    52,667.25x = 13,268,232,148.54
  5. Step 5: Solve for x
    x = 13,268,232,148.54/52,667.25
  6. Step 6: Final answer
    x = 251,925.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.