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Finding the Third Proportional to 95,091.75 and 147,163.50

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Solution

The third proportional to 95,091.75 and 147,163.50 is: 227,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,091.75 : 147,163.50 = 147,163.50 : x
  2. Step 2: Convert to fraction form
    95,091.75/147,163.50 = 147,163.50/x
  3. Step 3: Cross multiply
    95,091.75x = 147,163.50 × 147,163.50
  4. Step 4: Simplify right side
    95,091.75x = 21,657,095,732.25
  5. Step 5: Solve for x
    x = 21,657,095,732.25/95,091.75
  6. Step 6: Final answer
    x = 227,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.