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Finding the Third Proportional to 69,012 and 153,576

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Solution

The third proportional to 69,012 and 153,576 is: 341,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012 : 153,576 = 153,576 : x
  2. Step 2: Convert to fraction form
    69,012/153,576 = 153,576/x
  3. Step 3: Cross multiply
    69,012x = 153,576 × 153,576
  4. Step 4: Simplify right side
    69,012x = 23,585,587,776
  5. Step 5: Solve for x
    x = 23,585,587,776/69,012
  6. Step 6: Final answer
    x = 341,760.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.