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Finding the Third Proportional to 71,652.73 and 151,842.73

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Solution

The third proportional to 71,652.73 and 151,842.73 is: 321,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.73 : 151,842.73 = 151,842.73 : x
  2. Step 2: Convert to fraction form
    71,652.73/151,842.73 = 151,842.73/x
  3. Step 3: Cross multiply
    71,652.73x = 151,842.73 × 151,842.73
  4. Step 4: Simplify right side
    71,652.73x = 23,056,213,609.93
  5. Step 5: Solve for x
    x = 23,056,213,609.93/71,652.73
  6. Step 6: Final answer
    x = 321,777.20

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Why These Related Problems?

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