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Finding the Third Proportional to 101,856.75 and 161,249.50

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Solution

The third proportional to 101,856.75 and 161,249.50 is: 255,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.75 : 161,249.50 = 161,249.50 : x
  2. Step 2: Convert to fraction form
    101,856.75/161,249.50 = 161,249.50/x
  3. Step 3: Cross multiply
    101,856.75x = 161,249.50 × 161,249.50
  4. Step 4: Simplify right side
    101,856.75x = 26,001,401,250.25
  5. Step 5: Solve for x
    x = 26,001,401,250.25/101,856.75
  6. Step 6: Final answer
    x = 255,274.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.