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Finding the Third Proportional to 73,971.75 and 161,782.75

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Solution

The third proportional to 73,971.75 and 161,782.75 is: 353,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971.75 : 161,782.75 = 161,782.75 : x
  2. Step 2: Convert to fraction form
    73,971.75/161,782.75 = 161,782.75/x
  3. Step 3: Cross multiply
    73,971.75x = 161,782.75 × 161,782.75
  4. Step 4: Simplify right side
    73,971.75x = 26,173,658,197.56
  5. Step 5: Solve for x
    x = 26,173,658,197.56/73,971.75
  6. Step 6: Final answer
    x = 353,833.16

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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.