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Finding the Third Proportional to 69,578 and 151,576

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Solution

The third proportional to 69,578 and 151,576 is: 330,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,578 : 151,576 = 151,576 : x
  2. Step 2: Convert to fraction form
    69,578/151,576 = 151,576/x
  3. Step 3: Cross multiply
    69,578x = 151,576 × 151,576
  4. Step 4: Simplify right side
    69,578x = 22,975,283,776
  5. Step 5: Solve for x
    x = 22,975,283,776/69,578
  6. Step 6: Final answer
    x = 330,209.03

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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.