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Finding the Third Proportional to 31,576 and 68,074

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Solution

The third proportional to 31,576 and 68,074 is: 146,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576 : 68,074 = 68,074 : x
  2. Step 2: Convert to fraction form
    31,576/68,074 = 68,074/x
  3. Step 3: Cross multiply
    31,576x = 68,074 × 68,074
  4. Step 4: Simplify right side
    31,576x = 4,634,069,476
  5. Step 5: Solve for x
    x = 4,634,069,476/31,576
  6. Step 6: Final answer
    x = 146,759.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.