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Finding the Third Proportional to 69,274 and 151,510

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Solution

The third proportional to 69,274 and 151,510 is: 331,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,274 : 151,510 = 151,510 : x
  2. Step 2: Convert to fraction form
    69,274/151,510 = 151,510/x
  3. Step 3: Cross multiply
    69,274x = 151,510 × 151,510
  4. Step 4: Simplify right side
    69,274x = 22,955,280,100
  5. Step 5: Solve for x
    x = 22,955,280,100/69,274
  6. Step 6: Final answer
    x = 331,369.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.