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Finding the Third Proportional to 69,654 and 150,390

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Solution

The third proportional to 69,654 and 150,390 is: 324,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,654 : 150,390 = 150,390 : x
  2. Step 2: Convert to fraction form
    69,654/150,390 = 150,390/x
  3. Step 3: Cross multiply
    69,654x = 150,390 × 150,390
  4. Step 4: Simplify right side
    69,654x = 22,617,152,100
  5. Step 5: Solve for x
    x = 22,617,152,100/69,654
  6. Step 6: Final answer
    x = 324,707.15

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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.