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Finding the Third Proportional to 69,346.13 and 162,043.03

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Solution

The third proportional to 69,346.13 and 162,043.03 is: 378,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346.13 : 162,043.03 = 162,043.03 : x
  2. Step 2: Convert to fraction form
    69,346.13/162,043.03 = 162,043.03/x
  3. Step 3: Cross multiply
    69,346.13x = 162,043.03 × 162,043.03
  4. Step 4: Simplify right side
    69,346.13x = 26,257,943,976.69
  5. Step 5: Solve for x
    x = 26,257,943,976.69/69,346.13
  6. Step 6: Final answer
    x = 378,650.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.