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Finding the Third Proportional to 135,960.50 and 151,269.50

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Solution

The third proportional to 135,960.50 and 151,269.50 is: 168,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,960.50 : 151,269.50 = 151,269.50 : x
  2. Step 2: Convert to fraction form
    135,960.50/151,269.50 = 151,269.50/x
  3. Step 3: Cross multiply
    135,960.50x = 151,269.50 × 151,269.50
  4. Step 4: Simplify right side
    135,960.50x = 22,882,461,630.25
  5. Step 5: Solve for x
    x = 22,882,461,630.25/135,960.50
  6. Step 6: Final answer
    x = 168,302.28

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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.