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Finding the Third Proportional to 31,159 and 67,576

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Solution

The third proportional to 31,159 and 67,576 is: 146,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159 : 67,576 = 67,576 : x
  2. Step 2: Convert to fraction form
    31,159/67,576 = 67,576/x
  3. Step 3: Cross multiply
    31,159x = 67,576 × 67,576
  4. Step 4: Simplify right side
    31,159x = 4,566,515,776
  5. Step 5: Solve for x
    x = 4,566,515,776/31,159
  6. Step 6: Final answer
    x = 146,555.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.