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Finding the Third Proportional to 71,173.50 and 154,033.50

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Solution

The third proportional to 71,173.50 and 154,033.50 is: 333,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,173.50 : 154,033.50 = 154,033.50 : x
  2. Step 2: Convert to fraction form
    71,173.50/154,033.50 = 154,033.50/x
  3. Step 3: Cross multiply
    71,173.50x = 154,033.50 × 154,033.50
  4. Step 4: Simplify right side
    71,173.50x = 23,726,319,122.25
  5. Step 5: Solve for x
    x = 23,726,319,122.25/71,173.50
  6. Step 6: Final answer
    x = 333,358.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.