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Finding the Third Proportional to 105,765.75 and 161,997.75

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Solution

The third proportional to 105,765.75 and 161,997.75 is: 248,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,765.75 : 161,997.75 = 161,997.75 : x
  2. Step 2: Convert to fraction form
    105,765.75/161,997.75 = 161,997.75/x
  3. Step 3: Cross multiply
    105,765.75x = 161,997.75 × 161,997.75
  4. Step 4: Simplify right side
    105,765.75x = 26,243,271,005.06
  5. Step 5: Solve for x
    x = 26,243,271,005.06/105,765.75
  6. Step 6: Final answer
    x = 248,126.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.