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Finding the Third Proportional to 69,949.69 and 149,872.50

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Solution

The third proportional to 69,949.69 and 149,872.50 is: 321,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,949.69 : 149,872.50 = 149,872.50 : x
  2. Step 2: Convert to fraction form
    69,949.69/149,872.50 = 149,872.50/x
  3. Step 3: Cross multiply
    69,949.69x = 149,872.50 × 149,872.50
  4. Step 4: Simplify right side
    69,949.69x = 22,461,766,256.25
  5. Step 5: Solve for x
    x = 22,461,766,256.25/69,949.69
  6. Step 6: Final answer
    x = 321,113.18

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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.