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Finding the Third Proportional to 69,904.69 and 149,605.31

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Solution

The third proportional to 69,904.69 and 149,605.31 is: 320,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,904.69 : 149,605.31 = 149,605.31 : x
  2. Step 2: Convert to fraction form
    69,904.69/149,605.31 = 149,605.31/x
  3. Step 3: Cross multiply
    69,904.69x = 149,605.31 × 149,605.31
  4. Step 4: Simplify right side
    69,904.69x = 22,381,749,528.22
  5. Step 5: Solve for x
    x = 22,381,749,528.22/69,904.69
  6. Step 6: Final answer
    x = 320,175.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.