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Finding the Third Proportional to 69,563 and 151,546

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Solution

The third proportional to 69,563 and 151,546 is: 330,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,563 : 151,546 = 151,546 : x
  2. Step 2: Convert to fraction form
    69,563/151,546 = 151,546/x
  3. Step 3: Cross multiply
    69,563x = 151,546 × 151,546
  4. Step 4: Simplify right side
    69,563x = 22,966,190,116
  5. Step 5: Solve for x
    x = 22,966,190,116/69,563
  6. Step 6: Final answer
    x = 330,149.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.