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Finding the Third Proportional to 76,886.75 and 166,409.75

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Solution

The third proportional to 76,886.75 and 166,409.75 is: 360,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886.75 : 166,409.75 = 166,409.75 : x
  2. Step 2: Convert to fraction form
    76,886.75/166,409.75 = 166,409.75/x
  3. Step 3: Cross multiply
    76,886.75x = 166,409.75 × 166,409.75
  4. Step 4: Simplify right side
    76,886.75x = 27,692,204,895.06
  5. Step 5: Solve for x
    x = 27,692,204,895.06/76,886.75
  6. Step 6: Final answer
    x = 360,168.75

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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.