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Finding the Third Proportional to 69,304.50 and 149,672.25

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Solution

The third proportional to 69,304.50 and 149,672.25 is: 323,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,304.50 : 149,672.25 = 149,672.25 : x
  2. Step 2: Convert to fraction form
    69,304.50/149,672.25 = 149,672.25/x
  3. Step 3: Cross multiply
    69,304.50x = 149,672.25 × 149,672.25
  4. Step 4: Simplify right side
    69,304.50x = 22,401,782,420.06
  5. Step 5: Solve for x
    x = 22,401,782,420.06/69,304.50
  6. Step 6: Final answer
    x = 323,237.05

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