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Finding the Third Proportional to 31,083 and 67,079

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Solution

The third proportional to 31,083 and 67,079 is: 144,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083 : 67,079 = 67,079 : x
  2. Step 2: Convert to fraction form
    31,083/67,079 = 67,079/x
  3. Step 3: Cross multiply
    31,083x = 67,079 × 67,079
  4. Step 4: Simplify right side
    31,083x = 4,499,592,241
  5. Step 5: Solve for x
    x = 4,499,592,241/31,083
  6. Step 6: Final answer
    x = 144,760.55

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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.