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Finding the Third Proportional to 69,306.75 and 151,052.06

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Solution

The third proportional to 69,306.75 and 151,052.06 is: 329,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306.75 : 151,052.06 = 151,052.06 : x
  2. Step 2: Convert to fraction form
    69,306.75/151,052.06 = 151,052.06/x
  3. Step 3: Cross multiply
    69,306.75x = 151,052.06 × 151,052.06
  4. Step 4: Simplify right side
    69,306.75x = 22,816,725,585.50
  5. Step 5: Solve for x
    x = 22,816,725,585.50/69,306.75
  6. Step 6: Final answer
    x = 329,213.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.