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Finding the Third Proportional to 69,061 and 151,034

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Solution

The third proportional to 69,061 and 151,034 is: 330,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,061 : 151,034 = 151,034 : x
  2. Step 2: Convert to fraction form
    69,061/151,034 = 151,034/x
  3. Step 3: Cross multiply
    69,061x = 151,034 × 151,034
  4. Step 4: Simplify right side
    69,061x = 22,811,269,156
  5. Step 5: Solve for x
    x = 22,811,269,156/69,061
  6. Step 6: Final answer
    x = 330,306.09

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Why These Related Problems?

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