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Finding the Third Proportional to 76,921.75 and 166,145.50

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Solution

The third proportional to 76,921.75 and 166,145.50 is: 358,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,921.75 : 166,145.50 = 166,145.50 : x
  2. Step 2: Convert to fraction form
    76,921.75/166,145.50 = 166,145.50/x
  3. Step 3: Cross multiply
    76,921.75x = 166,145.50 × 166,145.50
  4. Step 4: Simplify right side
    76,921.75x = 27,604,327,170.25
  5. Step 5: Solve for x
    x = 27,604,327,170.25/76,921.75
  6. Step 6: Final answer
    x = 358,862.44

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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.