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Finding the Third Proportional to 135,958.50 and 151,267.50

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Solution

The third proportional to 135,958.50 and 151,267.50 is: 168,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,958.50 : 151,267.50 = 151,267.50 : x
  2. Step 2: Convert to fraction form
    135,958.50/151,267.50 = 151,267.50/x
  3. Step 3: Cross multiply
    135,958.50x = 151,267.50 × 151,267.50
  4. Step 4: Simplify right side
    135,958.50x = 22,881,856,556.25
  5. Step 5: Solve for x
    x = 22,881,856,556.25/135,958.50
  6. Step 6: Final answer
    x = 168,300.30

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.