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Finding the Third Proportional to 78,485.50 and 166,772

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Solution

The third proportional to 78,485.50 and 166,772 is: 354,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,485.50 : 166,772 = 166,772 : x
  2. Step 2: Convert to fraction form
    78,485.50/166,772 = 166,772/x
  3. Step 3: Cross multiply
    78,485.50x = 166,772 × 166,772
  4. Step 4: Simplify right side
    78,485.50x = 27,812,899,984
  5. Step 5: Solve for x
    x = 27,812,899,984/78,485.50
  6. Step 6: Final answer
    x = 354,369.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.