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Finding the Third Proportional to 69,303.73 and 148,960.27

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Solution

The third proportional to 69,303.73 and 148,960.27 is: 320,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303.73 : 148,960.27 = 148,960.27 : x
  2. Step 2: Convert to fraction form
    69,303.73/148,960.27 = 148,960.27/x
  3. Step 3: Cross multiply
    69,303.73x = 148,960.27 × 148,960.27
  4. Step 4: Simplify right side
    69,303.73x = 22,189,160,735.07
  5. Step 5: Solve for x
    x = 22,189,160,735.07/69,303.73
  6. Step 6: Final answer
    x = 320,172.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.